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

Question

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:

$-\hat{\text{i}}+12\hat{\text{j}}+4\hat{\text{k}}$
$-5\hat{\text{i}}+2\hat{\text{j}}-4\hat{\text{k}}$
$-5\hat{\text{i}}+12\hat{\text{j}}+4\hat{\text{k}}$
$\hat{\text{i}}+\hat{\text{j}}+\hat{\text{k}}$

✓

Answer

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

Solution:
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→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Let $X$ be a discrete random variable. Then the variance of $X$ is$:$

If $\left[\begin{array}{cc}2 a+b & a-2 b \\ 5 c-d & 4 c+3 d\end{array}\right]=\left[\begin{array}{cc}4 & -3 \\ 11 & 24\end{array}\right]$, then value of $a+b-c+2 d$ is

$\int \frac{e^x}{x+1}[1+(x+1) \log (x+1)] d x$ equals

If $(x^2 + y^2) dy = xy \ dx, y(1) = 1,$ and $y(x_0) = e,$ then $x_0 =$

If the curve $ay + x^2 = 7$ and $x^3 = y$ cut orthogonally at $(1, 1)$, then a is equal to:

Let $X$ be a discrete random variable. Then the variance of $X$ is$:$

If the events A and B are independent, then $\text{P}(\text{A}\cap\text{B})$ is equal to,

P(A) + P(B)
P(A) - P(B)
P(A) P(B)
$\frac{\text{P(A)}}{\text{P(B)}}$

If P(x, y, z) moves such that x = 0, z = 0 then the locus of P is the line whose d.cs are:

y-axis
1, 0, 0
0, 1, 0
0, 0, 0

What are the order and degree respectively of the differential equation whose solution is $y=c x+c^2-3 c^{3 / 2}+2$ where c is a parameter?

If ${ \sin }^{ -1 }\frac { \text{x} }{ 5 } +{ \text{cosec} }^{ -1 }\frac { 5 }{ 4 } $ then x is equal to:

1
4
3
5