The vector with initial point P (2, -3, 5) and terminal point Q(3… - Vidyadip

MCQ

The vector with initial point P (2, -3, 5) and terminal point Q(3, -4, 7) is

A
$-\hat{i}+\hat{j}-2 \hat{k}$
✓
$\hat{i}-\hat{j}+2 \hat{k}$
C
$5 \hat{i}-7 \hat{j}+12 \hat{k}$
D
$5 \hat{i}-7 \hat{j}-12 \hat{k}$

✓

Answer

Correct option: B.

$\hat{i}-\hat{j}+2 \hat{k}$

(b) $\hat{i}-\hat{j}+2 \hat{k}$
Explanation: To find the vector we need to find the $\overrightarrow{P Q}$
$=3 \hat{i}-4 \hat{j}+7 \hat{k}-(2 \hat{i}+3 \hat{j}-5 \hat{k})$.
Hence, the vector formed by above points is with the following $(1,-1,2)$.

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