JEE Mathematics · Medium

Vectors: Projection MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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ProjectionMediumQuestion 260011

Question

The projection of a⃗ on b⃗ is:
  1. A
    (a⃗ · b⃗)/|b⃗|
    Correct
  2. B
    (a⃗ · b⃗)/|a⃗|
  3. C
    |a⃗ × b⃗|/|b⃗|
  4. D
    a⃗ · b⃗

Correct answer

(a⃗ · b⃗)/|b⃗|

Explanation

Projection of a⃗ onto b⃗ = |a⃗|cos θ = |a⃗|(a⃗·b⃗)/(|a⃗||b⃗|) = (a⃗·b⃗)/|b⃗|.