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JEE Main 2024 (5 Apr, Shift 1) · Addition & Subtraction of Vectors

Addition & Subtraction of Vectors question from JEE Main 2024 (5 Apr, Shift 1)

Q9JEE Main 2024 · 5 APR · SHIFT 1Easy

Addition & Subtraction of Vectors

The angle between vector Q⃗\vec{Q} and the resultant of (2Q⃗+2P⃗)(2\vec{Q} + 2\vec{P}) and (2Q⃗−2P⃗)(2\vec{Q} - 2\vec{P}) is:

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Answer: (b)

  1. Resultant =(2Q⃗+2P⃗)+(2Q⃗−2P⃗)=4Q⃗= (2\vec{Q} + 2\vec{P}) + (2\vec{Q} - 2\vec{P}) = 4\vec{Q}
  2. 4Q⃗4\vec{Q} is parallel to Q⃗\vec{Q}, so the angle is zero.
  3. So the answer is (b) 0∘0^\circ.
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