Choose the correct answer from the given four options. The vector… - Vidyadip

MCQ

Choose the correct answer from the given four options. The vector having initial and terminal points as $(2, 5, 0)$ and $(–3, 7, 4),$ respectively is :

A
$-\hat{\text{i}}+12\hat{\text{j}}+4\hat{\text{k}}$
B
$-5\hat{\text{i}}+2\hat{\text{j}}-4\hat{\text{k}}$
✓
$-5\hat{\text{i}}+2\hat{\text{j}}+4\hat{\text{k}}$
D
$\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}$

✓

Answer

Correct option: C.

$-5\hat{\text{i}}+2\hat{\text{j}}+4\hat{\text{k}}$

Given points are $(2, 5, 0)$ and $(–3, 7, 4).$
Thus, the required vector $=(-3-2)\hat{\text{i}}+(7-5)\hat{\text{j}}+(4-0)\hat{\text{k}}$
$=-5\hat{\text{i}}+2\hat{\text{j}}+4\hat{\text{k}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Vector Algebra→Vector Algebra — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

At present, a firm is manufacturing $2000$ items. It is estimated that the rate of change of production $P$ w.r.t. additional number of workers $x$ is given by $\frac{{dp}}{{dx}} = 100 - 12\sqrt x $ . If the firm employs $25 $ more workers, then the new level of production of itmes is

If $f(x) = {1 \over {1 - x}}$, then the derivative of the composite function $f[f\{ f(x)\} ]$ is equal to

If $\hat{i}, \hat{j}, \hat{k}$ are unit vectors along three mutually perpendicular directions, then

If $|a| = |b| = 1$ and $|a + b| = \sqrt 3 $, then the value of $(3a - 4b).(2a + 5b)$ is

Let $f: R \rightarrow R$ be a differentiable function such that its derivative $f^{\prime}$ is continuous and $f(\pi)=-6$. If $F:[0, \pi] \rightarrow R$ is defined by $F(x)=\int_0^{ x } f( t ) dt$, and if $\int_0^\pi\left(f^{\prime}( x )+ F ( x )\right) \cos x dx =2$ then the value of $f(0)$ is. . . . . .

If $\begin{bmatrix} 1 & -\tan\theta \\ \tan\theta & 1 \end{bmatrix}\begin{bmatrix} 1 & \tan\theta \\ -\tan\theta & 1 \end{bmatrix}-1=\begin{bmatrix} \text{a} & -\text{b} \\ \text{b} & \text{a} \end{bmatrix},$ then:

The direction ratios of the line joining the points $(x, y, z)$ and $\left( x _2, y _2, z _1\right)$ are:

The angle between the vectors $a + b$ and $a -b$, when $a = (1,\,1,\,4)$ and $b = (1,\, - 1,\,4)$ is .............. $^o$

Let $f: R \rightarrow R$ be a function defined by $f( x )=( x -3)^{ n _{1}}( x -5)^{ n _{2}}, n _{1}, n _{2} \in N$. The, which of the following is $\underline{\text { NOT}} \;true? $

A man of height 6ft walks at a uniform speed of 9ft/sec. from a lamp fixed at 15ft height. The length of his shadow is increasing at the rate of: