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MHT CET 2026 (16 Apr, Shift 1) · Addition & Subtraction of Vectors

Addition & Subtraction of Vectors question from MHT CET 2026 (16 Apr, Shift 1)

Q3MHT CET 2026 · 16 APR · SHIFT 1Easy

Addition & Subtraction of Vectors

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

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Answer: (c)

  1. Q⃗=−P⃗\vec{Q} = -\vec{P}, so P⃗−Q⃗=2P⃗\vec{P} - \vec{Q} = 2\vec{P}.
  2. 2P⃗2\vec{P} is parallel to P⃗\vec{P}, so the angle is 0∘0^\circ.
  3. So the answer is (c) 0∘0^\circ.
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