Recent questions tagged vector-identities / GO Instrumentation

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GATE2020: 1
The unit vectors along the mutually perpendicular x,y and z axes are $\hat{i},\;\hat{j}\; and \;\hat{k}$ respectively. Consider the plane $z=0$ and two vectors $\overrightarrow{a} and\;\overrightarrow{b}$ on that plane such that $\overrightarrow{a}\neq \alpha \overrightarrow{b}$ for any scalar $\alpha$. A vector perpendicular to both $\overrightarrow{a} and\;\overrightarrow{b}$ is ___________ $\hat{k}$ $\hat{i}-\hat{j}$ $-\hat{j}$ $\hat{i}$

The unit vectors along the mutually perpendicular x,y and z axes are $\hat{i},\;\hat{j}\; and \;\hat{k}$ respectively. Consider the plane $z=0$ and two vectors $\overrigh...

soujanyareddy13

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soujanyareddy13 asked Nov 3, 2020

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2

GATE2017: 27
The angle between two vectors $X_1=\begin{bmatrix}2 & 6 & 14\end{bmatrix}^T$ and $X_2=\begin{bmatrix}-12 & 8 & 16\end{bmatrix}^T$ in radian is __________.

The angle between two vectors $X_1=\begin{bmatrix}2 & 6 & 14\end{bmatrix}^T$ and $X_2=\begin{bmatrix}-12 & 8 & 16\end{bmatrix}^T$ in radian is __________.

soujanyareddy13

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soujanyareddy13 asked Nov 2, 2020

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3

GATE2019 IN: 1
$\overrightarrow{a}$,$\overrightarrow{b}$,$\overrightarrow{c}$ are three orthogonal vectors. Given that $\overrightarrow{a}$ = ${\widehat{i}}$ + 2${\widehat{j}}$ + 5${\widehat{k}}$ and $\overrightarrow{b}$ = ${\widehat{i}}$ + 2${\widehat{j}}$ – ${\widehat{k}}$, the vector $\overrightarrow{c}$ is parallel to $\widehat{i}+2\widehat{j}+3\widehat{k}$ $2\widehat{i} + \widehat{j}$ $2\widehat{i} – \widehat{j}$ $4\widehat{k}$

$\overrightarrow{a}$,$\overrightarrow{b}$,$\overrightarrow{c}$ are three orthogonal vectors. Given that $\overrightarrow{a}$ = ${\widehat{i}}$ + 2${\widehat{j}}$ + 5${\wi...

Arjun

2.9k points

Arjun asked Feb 10, 2019

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4

GATE2019 IN: 2
The vector function $\overrightarrow{A}$ is given by $\overrightarrow{A}$ = $\overrightarrow{\bigtriangledown}$u , where u(x, y) is a scalar function. Then |$\overrightarrow{\bigtriangledown}$ x $\overrightarrow{A}$| is -1 0 1 $\infty$

The vector function $\overrightarrow{A}$ is given by $\overrightarrow{A}$ = $\overrightarrow{\bigtriangledown}$u , where u(x, y) is a scalar function. Then |$\overrightar...

Arjun

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Arjun asked Feb 10, 2019

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5

GATE2016-4
The vector that is $NOT$ perpendicular to the vectors $(i+j+k)$ and $(i+2j+3k)$ is ______. $(i-2j+k)$ $(-i+2j-k)$ $(0i+0j+0k)$ $(4i+3j+5k)$

The vector that is $NOT$ perpendicular to the vectors $(i+j+k)$ and $(i+2j+3k)$ is ______.$(i-2j+k)$ $(-i+2j-k)$$(0i+0j+0k)$$(4i+3j+5k)$

Milicevic3306

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Milicevic3306 asked Mar 26, 2018