MathsGee Q&A - Recent questions tagged scalar
https://mathsgee.com/tag/scalar
Powered by Question2AnswerWhat is a dot/scalar product?
https://mathsgee.com/38142/what-is-a-dot-scalar-product
What is a dot/scalar product?Mathematicshttps://mathsgee.com/38142/what-is-a-dot-scalar-productSun, 20 Feb 2022 02:40:18 +0000How do math textbooks denote vector and scalar quantities?
https://mathsgee.com/36771/how-do-math-textbooks-denote-vector-and-scalar-quantities
How do math textbooks denote vector and scalar quantities?Mathematicshttps://mathsgee.com/36771/how-do-math-textbooks-denote-vector-and-scalar-quantitiesWed, 26 Jan 2022 01:32:29 +0000What is scalar multiplication of vectors?
https://mathsgee.com/36737/what-is-scalar-multiplication-of-vectors
What is scalar multiplication of vectors?Mathematicshttps://mathsgee.com/36737/what-is-scalar-multiplication-of-vectorsWed, 26 Jan 2022 01:06:26 +0000How are the operations of addition, subtraction and scalar multiplication defined for vectors in $\mathbb{R}^n$?
https://mathsgee.com/36713/operations-addition-subtraction-multiplication-defined
How are the operations of addition, subtraction and scalar multiplication defined for vectors in $\mathbb{R}^n$?Mathematicshttps://mathsgee.com/36713/operations-addition-subtraction-multiplication-definedWed, 26 Jan 2022 00:46:22 +0000True/False: If $k$ is a scalar and $\mathbf{v}$ is a vector, then $\mathbf{v}$ and $k \mathbf{v}$ are parallel if and only if $k \geq 0$.
https://mathsgee.com/36678/false-scalar-mathbf-vector-then-mathbf-mathbf-parallel-only
True/False: If $k$ is a scalar and $\mathbf{v}$ is a vector, then $\mathbf{v}$ and $k \mathbf{v}$ are parallel if and only if $k \geq 0$.Mathematicshttps://mathsgee.com/36678/false-scalar-mathbf-vector-then-mathbf-mathbf-parallel-onlyWed, 26 Jan 2022 00:18:23 +0000If $\mathbf{v}$ is a vector in $R^{n}$, and if $k$ is any scalar, then prove that $\|\mathbf{v}\|=0$ if and only if $\mathbf{v}=\mathbf{0}$
https://mathsgee.com/36660/mathbf-vector-scalar-prove-that-mathbf-only-mathbf-mathbf
If $\mathbf{v}$ is a vector in $R^{n}$, and if $k$ is any scalar, then prove that $\|\mathbf{v}\|=0$ if and only if $\mathbf{v}=\mathbf{0}$Mathematicshttps://mathsgee.com/36660/mathbf-vector-scalar-prove-that-mathbf-only-mathbf-mathbfWed, 26 Jan 2022 00:05:15 +0000If $\mathbf{v}$ is a vector in $R^{n}$, and if $k$ is any scalar, then prove that $\|\mathbf{v}\| \geq 0$
https://mathsgee.com/36659/mathbf-vector-and-k-any-scalar-then-prove-that-mathbf-geq
If $\mathbf{v}$ is a vector in $R^{n}$, and if $k$ is any scalar, then prove that $\|\mathbf{v}\| \geq 0$Mathematicshttps://mathsgee.com/36659/mathbf-vector-and-k-any-scalar-then-prove-that-mathbf-geqWed, 26 Jan 2022 00:04:04 +0000The set of diagonalizable \(2 \times 2\) matrices dense in the set of all real \(2 \times 2\) matrices. Proof or counterexample?
https://mathsgee.com/36430/diagonalizable-times-matrices-matrices-proof-counterexample
The set of diagonalizable \(2 \times 2\) matrices dense in the set of all real \(2 \times 2\) matrices. Proof or counterexample?Mathematicshttps://mathsgee.com/36430/diagonalizable-times-matrices-matrices-proof-counterexampleFri, 21 Jan 2022 02:40:28 +0000Prove that the set of invertible real \(2 \times 2\) matrices is dense in the set of all real \(2 \times 2\) matrices.
https://mathsgee.com/36429/prove-invertible-real-times-matrices-dense-times-matrices
Prove that the set of invertible real \(2 \times 2\) matrices is dense in the set of all real \(2 \times 2\) matrices.Mathematicshttps://mathsgee.com/36429/prove-invertible-real-times-matrices-dense-times-matricesFri, 21 Jan 2022 02:39:53 +0000For square \(n \times n\) matrices, if either \(A\) or \(B\) are invertible, show that \(A B\) and \(B A\) are similar.
https://mathsgee.com/36423/square-times-matrices-either-invertible-show-that-similar
For square \(n \times n\) matrices, if either \(A\) or \(B\) are invertible, show that \(A B\) and \(B A\) are similar.Mathematicshttps://mathsgee.com/36423/square-times-matrices-either-invertible-show-that-similarFri, 21 Jan 2022 02:35:21 +0000If a matrix \(A\) is diagonalizable, show that for any scalar \(c\) so is the matrix \(A+c I\).
https://mathsgee.com/36402/matrix-diagonalizable-show-that-for-any-scalar-so-the-matrix
If a matrix \(A\) is diagonalizable, show that for any scalar \(c\) so is the matrix \(A+c I\).Mathematicshttps://mathsgee.com/36402/matrix-diagonalizable-show-that-for-any-scalar-so-the-matrixFri, 21 Jan 2022 01:59:03 +0000[SCHUR's LEMMA] Let \(A\) be an \(n \times n\) matrix. If \(A B=B A\) for all invertible matrices \(B\), show that \(A=c I\) for some scalar \(c\).
https://mathsgee.com/36387/schurs-lemma-times-matrix-invertible-matrices-show-scalar
[SCHUR's LEMMA] Let \(A\) be an \(n \times n\) matrix. If \(A B=B A\) for all invertible matrices \(B\), show that \(A=c I\) for some scalar \(c\).Mathematicshttps://mathsgee.com/36387/schurs-lemma-times-matrix-invertible-matrices-show-scalarFri, 21 Jan 2022 01:45:07 +0000If $\mathbf{v}$ is a vector in $R^{n}$, and if $k$ is any scalar, then prove that $\|k \mathbf{v}\|=|k|\|\mathbf{v}\|$
https://mathsgee.com/35836/mathbf-vector-and-k-scalar-then-prove-that-mathbf-mathbf
If $\mathbf{v}$ is a vector in $R^{n}$, and if $k$ is any scalar, then prove that $\|k \mathbf{v}\|=|k|\|\mathbf{v}\|$Mathematicshttps://mathsgee.com/35836/mathbf-vector-and-k-scalar-then-prove-that-mathbf-mathbfThu, 13 Jan 2022 08:55:49 +0000As defined in physics, work is:
https://mathsgee.com/33272/as-defined-in-physics-work-is
As defined in physics, work is:<br />
<br />
w) a scalar quantity<br />
<br />
x) always a positive quantity<br />
<br />
y) a vector quantity<br />
<br />
z) always zeroPhysics & Chemistryhttps://mathsgee.com/33272/as-defined-in-physics-work-isTue, 05 Oct 2021 03:05:32 +0000What is the projection of a vector $u$ onto a nonzero vector $v$?
https://mathsgee.com/31458/what-is-the-projection-of-vector-u-onto-nonzero-vector-v
What is the projection of a vector $u$ onto a nonzero vector $v$?Mathematicshttps://mathsgee.com/31458/what-is-the-projection-of-vector-u-onto-nonzero-vector-vMon, 09 Aug 2021 00:22:39 +0000What is the norm of $u=(1,-2,-4,5,3)$?
https://mathsgee.com/31444/what-is-the-norm-of-u-1-2-4-5-3
What is the norm of $u=(1,-2,-4,5,3)$?Mathematicshttps://mathsgee.com/31444/what-is-the-norm-of-u-1-2-4-5-3Mon, 09 Aug 2021 00:07:21 +0000Find the negatives of (a) $u=(3,-5,-8,4)$, (b) $v=(-4,2 \pi, 0)$, (c) $0=(0,0,0,0)$.
https://mathsgee.com/31407/find-the-negatives-of-a-u-3-5-8-4-b-v-4-2-pi-0-c-0-0-0-0-0
Find the negatives of<br />
<br />
(a) $u=(3,-5,-8,4)$,<br />
(b) $v=(-4,2 \pi, 0)$,<br />
(c) $0=(0,0,0,0)$.Mathematicshttps://mathsgee.com/31407/find-the-negatives-of-a-u-3-5-8-4-b-v-4-2-pi-0-c-0-0-0-0-0Sun, 08 Aug 2021 23:08:41 +0000What is a scalar matrix?
https://mathsgee.com/30920/what-is-a-scalar-matrix
What is a scalar matrix?Mathematicshttps://mathsgee.com/30920/what-is-a-scalar-matrixSat, 24 Jul 2021 09:14:47 +0000Each diagram shows 3 vectors of equal magnitude. In which diagram is the magnitude of the resultant vector different from the other 3?
https://mathsgee.com/26654/vectors-magnitude-diagram-magnitude-resultant-different
<p>Each diagram shows 3 vectors of equal magnitude. In which diagram is the magnitude of the resultant vector different from the other 3?</p>
<p><img alt="" src="https://mathsgee.com/?qa=blob&qa_blobid=6700683011752677165" style="height:367px; width:544px"></p>Physics & Chemistryhttps://mathsgee.com/26654/vectors-magnitude-diagram-magnitude-resultant-differentThu, 15 Apr 2021 03:59:27 +0000Find the projection of $u = <3,-12>$ onto $v = <9,2>$
https://mathsgee.com/26239/find-the-projection-of-u-3-12-onto-v-9-2
Find the projection of $u = <3,-12>$ onto $v = <9,2>$Mathematicshttps://mathsgee.com/26239/find-the-projection-of-u-3-12-onto-v-9-2Mon, 12 Apr 2021 14:24:04 +0000Find the dot product of $u = <-5,-6,-2>$ and $v = <-3,10,8>$. Are $u$ and $v$ orthogonal?
https://mathsgee.com/26238/find-the-dot-product-of-u-and-v-10-are-u-and-v-orthogonal
Find the dot product of $u = <-5,-6,-2>$ and $v = <-3,10,8>$. Are $u$ and $v$ orthogonal?Mathematicshttps://mathsgee.com/26238/find-the-dot-product-of-u-and-v-10-are-u-and-v-orthogonalMon, 12 Apr 2021 14:23:14 +0000How does a vector measurement differ from a scalar measurement?
https://mathsgee.com/19338/how-does-vector-measurement-differ-from-scalar-measurement
How does a vector measurement differ from a scalar measurement?Physics & Chemistryhttps://mathsgee.com/19338/how-does-vector-measurement-differ-from-scalar-measurementTue, 15 Sep 2020 01:25:23 +0000A 25N force in the North West direction was exerted on an object whilst another 30N force was exerted in the Easterly direction. What is the resultant force?
https://mathsgee.com/19226/direction-exerted-another-exerted-easterly-direction-resultant
<p>A 25N force in the North West direction was exerted on an object whilst another 30N force was exerted in the Easterly direction. What is the resultant force?</p>
<p><img alt="" src="https://mathsgee.com/?qa=blob&qa_blobid=15720693156078877411" style="height:274px; width:600px"></p>Physics & Chemistryhttps://mathsgee.com/19226/direction-exerted-another-exerted-easterly-direction-resultantThu, 10 Sep 2020 04:12:26 +0000Is charge in electrostatics a vector or scalar ?
https://mathsgee.com/18671/is-charge-in-electrostatics-a-vector-or-scalar
Is charge in electrostatics a vector or scalar ?Physics & Chemistryhttps://mathsgee.com/18671/is-charge-in-electrostatics-a-vector-or-scalarSat, 05 Sep 2020 04:12:10 +0000Which of the following is not a vector quantity?
https://mathsgee.com/17844/which-of-the-following-is-not-a-vector-quantity
Which of the following is not a vector quantity?<br />
<br />
A. Acceleration<br />
<br />
B. Displacement<br />
<br />
C. Velocity<br />
<br />
D. SpeedPhysics & Chemistryhttps://mathsgee.com/17844/which-of-the-following-is-not-a-vector-quantitySun, 23 Aug 2020 10:54:07 +0000What kind of output (scalar or vector) is produced from the scalar triple product?
https://mathsgee.com/5711/what-kind-output-scalar-vector-produced-scalar-triple-product
What kind of output (scalar or vector) is produced from the scalar triple product?Mathematicshttps://mathsgee.com/5711/what-kind-output-scalar-vector-produced-scalar-triple-productThu, 05 Mar 2020 01:17:25 +0000What is the difference between a scalar and vector quantity? Give an example of each.
https://mathsgee.com/5707/what-difference-between-scalar-vector-quantity-give-example
What is the difference between a scalar and vector quantity? Give an example of each.Mathematicshttps://mathsgee.com/5707/what-difference-between-scalar-vector-quantity-give-exampleThu, 05 Mar 2020 01:13:49 +0000What is the difference between a vector and scalar quantity?
https://mathsgee.com/5120/what-is-the-difference-between-a-vector-and-scalar-quantity
What is the difference between a vector and scalar quantity?Mathematicshttps://mathsgee.com/5120/what-is-the-difference-between-a-vector-and-scalar-quantityMon, 04 Nov 2019 05:02:14 +0000If her total trip takes 3 minutes, what is John’s average velocity?
https://mathsgee.com/2490/if-her-total-trip-takes-minutes-what-johns-average-velocity
John runs to her classroom which is 20 meters away. She forgets her physics book in her locker and must return 20 meters in the direction from whence she came. If her total trip takes 3 minutes, what is John’s average velocity?Physics & Chemistryhttps://mathsgee.com/2490/if-her-total-trip-takes-minutes-what-johns-average-velocityMon, 26 Aug 2019 19:53:52 +0000A fighter jet flies 3 km west and then 2 km east in 8 minutes. Determine the jet’s average velocity. (Remember to convert!)
https://mathsgee.com/2489/fighter-minutes-determine-average-velocity-remember-convert
A fighter jet flies 3 km west and then 2 km east in 8 minutes. Determine the jet’s average velocity. (Remember to convert!)Physics & Chemistryhttps://mathsgee.com/2489/fighter-minutes-determine-average-velocity-remember-convertMon, 26 Aug 2019 19:53:07 +0000A bowling ball races down the 19 meter alley in 3 seconds. What is the ball’s average speed?
https://mathsgee.com/2488/bowling-ball-races-meter-alley-seconds-balls-average-speed
A bowling ball races down the 19 meter alley in 3 seconds. What is the ball’s average speed?Physics & Chemistryhttps://mathsgee.com/2488/bowling-ball-races-meter-alley-seconds-balls-average-speedMon, 26 Aug 2019 19:52:20 +0000The Port Jefferson ferry travels 20 miles north to Connecticut and then 20 miles south to Long Island. What is the displacement of the ferry?
https://mathsgee.com/2485/jefferson-travels-connecticut-south-island-displacement
The Port Jefferson ferry travels 20 miles north to Connecticut and then 20 miles south to Long Island. What is the displacement of the ferry?Physics & Chemistryhttps://mathsgee.com/2485/jefferson-travels-connecticut-south-island-displacementMon, 26 Aug 2019 19:50:02 +0000Jenny walks 30 meters north, 40 meters south, and 20 meters north. Determine the displacement travelled by Jenny.
https://mathsgee.com/2484/jenny-meters-meters-meters-determine-displacement-travelled
Jenny walks 30 meters north, 40 meters south, and 20 meters north. Determine the displacement travelled by Jenny.Physics & Chemistryhttps://mathsgee.com/2484/jenny-meters-meters-meters-determine-displacement-travelledMon, 26 Aug 2019 19:49:23 +0000A speed boat takes off 400 feet to the north and then travels 600 feet back to the south. Determine the distance travelled by the boat.
https://mathsgee.com/2483/speed-takes-north-travels-south-determine-distance-travelled
A speed boat takes off 400 feet to the north and then travels 600 feet back to the south. Determine the distance travelled by the boat.Physics & Chemistryhttps://mathsgee.com/2483/speed-takes-north-travels-south-determine-distance-travelledMon, 26 Aug 2019 19:48:45 +0000A jet takes off from Florida and flies 100 miles north and then 400 miles west. Determine the total distance travelled by the jet.
https://mathsgee.com/2482/takes-florida-flies-miles-north-determine-distance-travelled
<p>Jenny walks 30 meters north, 40 meters south, and 20 meters north. Determine the <strong>distance</strong> travelled by Jenny.</p>Physics & Chemistryhttps://mathsgee.com/2482/takes-florida-flies-miles-north-determine-distance-travelledMon, 26 Aug 2019 19:48:10 +0000Jenny walks 30 meters north, 40 meters south, and 20 meters north. Determine the distance travelled by Jenny.
https://mathsgee.com/2481/jenny-meters-meters-meters-north-determine-distance-travelled
<p>Jenny walks 30 meters north, 40 meters south, and 20 meters north. Determine the <strong>distance</strong> travelled by Jenny.</p>Physics & Chemistryhttps://mathsgee.com/2481/jenny-meters-meters-meters-north-determine-distance-travelledMon, 26 Aug 2019 19:47:31 +0000Johnny rides his bicycle 40 meters north and 20 meters east in 10 seconds. What is Johnny’s average speed?
https://mathsgee.com/2477/johnny-bicycle-meters-north-meters-seconds-johnnys-average
Johnny rides his bicycle 40 meters north and 20 meters east in 10 seconds. What is Johnny’s average speed?Physics & Chemistryhttps://mathsgee.com/2477/johnny-bicycle-meters-north-meters-seconds-johnnys-averageMon, 26 Aug 2019 19:43:31 +0000The school bus covers a distance of 400 meters in 20 seconds. What is the average speed of the bus?
https://mathsgee.com/2476/the-school-covers-distance-meters-seconds-what-average-speed
The school bus covers a distance of 400 meters in 20 seconds. What is the average speed of the bus?Physics & Chemistryhttps://mathsgee.com/2476/the-school-covers-distance-meters-seconds-what-average-speedMon, 26 Aug 2019 19:42:44 +0000What is the difference between speed and velocity?
https://mathsgee.com/2475/what-is-the-difference-between-speed-and-velocity
What is the difference between speed and velocity?Physics & Chemistryhttps://mathsgee.com/2475/what-is-the-difference-between-speed-and-velocityMon, 26 Aug 2019 19:41:51 +0000What is the difference between distance and displacement?
https://mathsgee.com/2474/what-is-the-difference-between-distance-and-displacement
What is the difference between distance and displacement?Physics & Chemistryhttps://mathsgee.com/2474/what-is-the-difference-between-distance-and-displacementMon, 26 Aug 2019 19:40:58 +0000What is the difference between a vector and scalar quantity?
https://mathsgee.com/2463/what-is-the-difference-between-a-vector-and-scalar-quantity
What is the difference between a vector and scalar quantity?Physics & Chemistryhttps://mathsgee.com/2463/what-is-the-difference-between-a-vector-and-scalar-quantityMon, 26 Aug 2019 19:29:58 +0000