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

Answer

Correct option: C.
$-5\hat{\text{i}}+12\hat{\text{j}}+4\hat{\text{k}}$
Given points are (2, 5, 0) and (–3, 7, 4).

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

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

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