Question

The vector having initial and terminal points are (2, 5, 0) and (-3, 7, 4), respectively is

(a) $-\hat{i}+12\hat{j}+4\hat{k}$

(b) $5\hat{i}+2\hat{j}-4\hat{k}$

(c) $-5\hat{i}+2\hat{j}+4\hat{k}$

(d) $\hat{i}+\hat{j}+\hat{k}$

Answer 1

Required vector $=(-3-2)\hat{i}+(7-5)\hat{j}+(4-0)\hat{k}=-5\hat{i}+2\hat{j}+4\hat{k}$

Similarly, we can say that for having initial and terminal points as

(i) (4, 1, 1) and (3, 13, 5), respectively

(ii) (1, 1, 9) and (6, 3, 5), respectively

(iii) (1, 2, 3) and (2, 3, 4), respectively, we shall get (a), (b) and (d) as its correct options.