# Recent questions tagged scalar

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How do math textbooks denote vector and scalar quantities?
How do math textbooks denote vector and scalar quantities?How do math textbooks denote vector and scalar quantities? ...
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What is scalar multiplication of vectors?
What is scalar multiplication of vectors?What is scalar multiplication of vectors? ...
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How are the operations of addition, subtraction and scalar multiplication defined for vectors in $\mathbb{R}^n$?
How are the operations of addition, subtraction and scalar multiplication defined for vectors in $\mathbb{R}^n$?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 $k \geq 0$.
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 $k \geq 0$.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 $\mathbf{v}=\mathbf{0}$
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 $\mathbf{v}=\mathbf{0}$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 $\|\mathbf{v}\| \geq 0$
If $\mathbf{v}$ is a vector in $R^{n}$, and if $k$ is any scalar, then prove that $\|\mathbf{v}\| \geq 0$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?
The set of diagonalizable $2 \times 2$ matrices dense in the set of all real $2 \times 2$ matrices. Proof or counterexample?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.
Prove that the set of invertible real $2 \times 2$ matrices is dense in the set of all real $2 \times 2$ matrices.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.
For square $n \times n$ matrices, if either $A$ or $B$ are invertible, show that $A B$ and $B A$ are similar.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 $A+c I$.
If a matrix $A$ is diagonalizable, show that for any scalar $c$ so is the matrix $A+c I$.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 $c$.
[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 $c$.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 $\|k \mathbf{v}\|=|k|\|\mathbf{v}\|$
If $\mathbf{v}$ is a vector in $R^{n}$, and if $k$ is any scalar, then prove that $\|k \mathbf{v}\|=|k|\|\mathbf{v}\|$If $\mathbf{v}$ is a vector in $R^{n}$, and if $k$ is any scalar, then prove that $\|k \mathbf{v}\|=|k|\|\mathbf{v}\|$ ...
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As defined in physics, work is:
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 ...
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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 $v$?What is the projection of a vector $u$ onto a nonzero vector $v$? ...
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What is the norm of $u=(1,-2,-4,5,3)$?
What is the norm of $u=(1,-2,-4,5,3)$?What is the norm of $u=(1,-2,-4,5,3)$? ...
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Find the negatives of (a) $u=(3,-5,-8,4)$, (b) $v=(-4,2 \pi, 0)$, (c) $0=(0,0,0,0)$.
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 (a) $u=(3,-5,-8,4)$, (b) $v=(-4,2 \pi, 0)$, (c) $0=(0,0,0,0)$. ...
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What is a scalar matrix?
What is a scalar matrix?What is a scalar matrix? ...
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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?
Each diagram shows 3 vectors of equal magnitude. In which diagram is the magnitude of the resultant vector different from the other 3? Each diagram shows 3 vectors of equal magnitude. In which diagram is the magnitude of the resultant vector different from the other 3? ...
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Find the projection of $u = <3,-12>$ onto $v = <9,2>$
Find the projection of $u = <3,-12>$ onto $v = <9,2>$Find the projection of $u = &lt;3,-12&gt;$ onto $v = &lt;9,2&gt;$ ...
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Find the dot product of $u = <-5,-6,-2>$ and $v = <-3,10,8>$. Are $u$ and $v$ orthogonal?
Find the dot product of $u = <-5,-6,-2>$ 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? ...
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How does a vector measurement differ from a scalar measurement?
How does a vector measurement differ from a scalar measurement?How does a vector measurement differ from a scalar measurement? ...
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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?
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? A 25N force in the North West direction &nbsp;was exerted on an object whilst another 30N force was exerted in the Easterly direction. What is the r ...
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Is charge in electrostatics a vector or scalar ?
Is charge in electrostatics a vector or scalar ?Is charge in electrostatics a vector or scalar ? ...
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Which of the following is not a vector quantity?