Let P = i + j + k and Q = -i - j - k. The angle between (P - Q) and P is (a) 90° (b) 30° (c) 60° (d) 0°

Answer: (d). Q = -P, so P - Q = 2P = 2i + 2j + 2k. 2P points along P, so the angle is 0°. So the answer is (d) 0°.

Let P = i + j + k and Q = -i - j - k. The angle between (P - Q) and P… | MHT CET 2026 (20 May, Shift 1)

Q2MHT CET 2026 · 20 MAY · SHIFT 1Easy

Addition & Subtraction of Vectors

Let $\vec{P} = \hat{i} + \hat{j} + \hat{k}$ and $\vec{Q} = -\hat{i} - \hat{j} - \hat{k}$ . The angle between $(\vec{P} - \vec{Q})$ and $\vec{P}$ is

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Answer: (d)

$\vec{Q} = -\vec{P}$ , so $\vec{P} - \vec{Q} = 2\vec{P} = 2\hat{i} + 2\hat{j} + 2\hat{k}$ .
$2\vec{P}$ points along $\vec{P}$ , so the angle is $0^\circ$ .
So the answer is (d) $0^\circ$ .

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