# arrow_back Let $a, b$ and $c$ be vectors in $\mathrm{R}^{3}$, such that $a \cdot(b \times c)=0$. Then

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Let $a, b$ and $c$ be vectors in $\mathrm{R}^{3}$, such that $a \cdot(b \times c)=0$. Then

A. $a, b$ and $c$ are colinear

B. $a, b$ and $c$ lie on the coordinate axes

C. $a, b$ and $c$ lie on the same plane

D. at least one of the three vectors is the zero vector

E. at least two of the three vectors are equal

Let $a, b$ and $c$ be vectors in $\mathrm{R}^{3}, \times$ denotes the cross product, . the dot product. Which of the following is false?
Let $a, b$ and $c$ be vectors in $\mathrm{R}^{3}, \times$ denotes the cross product, . the dot product. Which of the following is false?Let $a, b$ and $c$ be vectors in $\mathrm{R}^{3}, \times$ denotes the cross product, . the dot product. Which of the following is false? A. $-a \time ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Let$\vec{a}$and$\vec{b}$be non-zero, non parallel vectors. Identify proj$\vec{a} \vec{b}$geometrically in the diagram. 0 answers 7 views Let$\vec{a}$and$\vec{b}$be non-zero, non parallel vectors. Identify proj$\vec{a} \vec{b}$geometrically in the diagram. Let$\vec{a}$and$\vec{b}$be non-zero, non parallel vectors. Identify proj$\vec{a} \vec{b}$geometrically in the diagram. &nbsp; &nbsp; ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If $A$ and $B$ are $4 \times 4$ matrices such that $\operatorname{rank}(A B)=3$, then $\operatorname{rank}(B A)<4$. 0 answers 6 views If $A$ and $B$ are $4 \times 4$ matrices such that $\operatorname{rank}(A B)=3$, then $\operatorname{rank}(B A)<4$.For each of the following, answer TRUE or FALSE. If the statement is false in even a single instance, then the answer is FALSE. There is no need to ju ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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 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)$0=(0,0,0,0)$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Let $U, V, W$ be orthogonal vectors and let $Z=a U+b V+c W$, where $a, b, c$ are scalars. 0 answers 10 views Let $U, V, W$ be orthogonal vectors and let $Z=a U+b V+c W$, where $a, b, c$ are scalars.Let $U, V, W$ be orthogonal vectors and let $Z=a U+b V+c W$, where $a, b, c$ are scalars. a) (Pythagoras) Show that $\|Z\|^{2}=a^{2}\|U\|^{2}+b ... close 0 answers 15 views Let \(\vec{v}$ and $\vec{w}$ be vectors in $\mathbb{R}^{n}$. If $\|\vec{v}\|=\|\vec{w}\|$, show there is an orthogonal matrix $R$ with $R \vec{v}=\vec{w}$ and $R \vec{w}=\vec{v}$.Let $\vec{v}$ and $\vec{w}$ be vectors in $\mathbb{R}^{n}$. If $\|\vec{v}\|=\|\vec{w}\|$, show there is an orthogonal matrix $R$ with \(R \v ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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? ...