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Recent questions tagged scalar


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How do math textbooks denote vector and scalar quantities?
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How do math textbooks denote vector and scalar quantities?How do math textbooks denote vector and scalar quantities? ...
by MathsGee Platinum
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asked in Mathematics 1 day ago
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What is scalar multiplication of vectors?
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What is scalar multiplication of vectors?What is scalar multiplication of vectors? ...
by MathsGee Platinum
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asked in Mathematics 1 day ago
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How are the operations of addition, subtraction and scalar multiplication defined for vectors in $\mathbb{R}^n$?

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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 $k \geq 0$.
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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 $\mathbf{v}=\mathbf{0}$
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If $\mathbf{v}$ is a vector in $R^{n}$, and if $k$ is any scalar, then prove that $\|\mathbf{v}\| \geq 0$
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The set of diagonalizable \(2 \times 2\) matrices dense in the set of all real \(2 \times 2\) matrices. Proof or counterexample?
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Prove that the set of invertible real \(2 \times 2\) matrices is dense in the set of all real \(2 \times 2\) matrices.
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For square \(n \times n\) matrices, if either \(A\) or \(B\) are invertible, show that \(A B\) and \(B A\) are similar.
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If a matrix \(A\) is diagonalizable, show that for any scalar \(c\) so is the matrix \(A+c I\).
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[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 \(c\).
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If $\mathbf{v}$ is a vector in $R^{n}$, and if $k$ is any scalar, then prove that $\|k \mathbf{v}\|=|k|\|\mathbf{v}\|$
1 answer 14 views
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As defined in physics, work is:
1 answer 25 views
As defined in physics, work is:As defined in physics, work is: w) a scalar quantity x) always a positive quantity y) a vector quantity z) always zero ...
by Digitized Wooden
(1,166 points)
asked in Physics Oct 5, 2021
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What is the projection of a vector $u$ onto a nonzero vector $v$?
1 answer 87 views
What is the projection of a vector $u$ onto a nonzero vector $v$?What is the projection of a vector $u$ onto a nonzero vector $v$? ...
by Maths Genie Bronze Status
(5,384 points)
asked in Mathematics Aug 9, 2021
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What is the norm of $u=(1,-2,-4,5,3)$?
1 answer 58 views
What is the norm of $u=(1,-2,-4,5,3)$?What is the norm of $u=(1,-2,-4,5,3)$? ...
by Maths Genie Bronze Status
(5,384 points)
asked in Mathematics Aug 9, 2021
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Find the negatives of (a) $u=(3,-5,-8,4)$, (b) $v=(-4,2 \pi, 0)$, (c) $0=(0,0,0,0)$.
1 answer 49 views
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What is a scalar matrix?
1 answer 47 views
What is a scalar matrix?What is a scalar matrix? ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Jul 24, 2021
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Each diagram shows 3 vectors of equal magnitude. In which diagram is the magnitude of the resultant vector different from the other 3?
1 answer 307 views
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Find the projection of $u = <3,-12>$ onto $v = <9,2>$
0 answers 74 views
Find the projection of $u = <3,-12>$ onto $v = <9,2>$Find the projection of $u = &lt;3,-12&gt;$ onto $v = &lt;9,2&gt;$ ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Apr 12, 2021
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Find the dot product of $u = <-5,-6,-2>$ and $v = <-3,10,8>$. Are $u$ and $v$ orthogonal?
0 answers 95 views
Find the dot product of $u = <-5,-6,-2>$ and $v = <-3,10,8>$. Are $u$ and $v$ orthogonal?Find the dot product of $u = &lt;-5,-6,-2&gt;$ and $v = &lt;-3,10,8&gt;$. Are $u$ and $v$ orthogonal? ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Apr 12, 2021
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How does a vector measurement differ from a scalar measurement?
1 answer 168 views
How does a vector measurement differ from a scalar measurement?How does a vector measurement differ from a scalar measurement? ...
by MathsGee Platinum
(106,910 points)
asked in Physics Sep 15, 2020
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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?

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Is charge in electrostatics a vector or scalar ?
1 answer 88 views
Is charge in electrostatics a vector or scalar ?Is charge in electrostatics a vector or scalar ? ...
by Student SIlver Status
(10,398 points)
asked in Physics Sep 5, 2020
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Which of the following is not a vector quantity?
1 answer 188 views
Which of the following is not a vector quantity?Which of the following is not a vector quantity? A. &nbsp;Acceleration B. &nbsp;Displacement C. &nbsp;Velocity D. &nbsp;Speed ...
by CT Diamond
(44,092 points)
asked in Physics Aug 23, 2020
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What kind of output (scalar or vector) is produced from the scalar triple product?
1 answer 136 views
What kind of output (scalar or vector) is produced from the scalar triple product?What kind of output (scalar or vector) is produced from the scalar triple product? ...
by adminTedsf Wooden
(2,098 points)
asked in Mathematics Mar 5, 2020
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