Q140 / 150 · MHT CET 2019 (Shift 1) · Physics

A vector P has X and Y components of magnitude 2 units and 4 units respectively. A vector Q along negative X-axis has magnitude 6 units. The vector (Q – P) will be

A
$4 (2 \hat{i} - \hat{j})$
B
$- 4 (2 \hat{i} - \hat{j})$
C
$4 (2 \hat{i} + \hat{j})$
Correct answer
D
$- 4 (2 \hat{i} + \hat{j})$

Solution

Accordingly, to question, vectors P and Q can be written as

P = 2 \hat{i} + 4 \hat{j}

and

Q = - 6 \hat{i}

∴ Q - P = - 6 \hat{i} - (2 \hat{i} + 4 \hat{j})

= - 8 \hat{i} - 4 \hat{j} = - 4 (2 \hat{i} + \hat{j})

Hence, the correct answer is option: 'D'.

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