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If ⃗A = (2̂i + 3̂j - ̂k) m and ⃗B = (̂i + 2̂j + 2̂k) m. The magnitude of component of vector ⃗A along vector ⃗B will be ______ m.

Asked in JEE Main 26th July 2nd Shift 2022 · Scalar product and projections

Answer: 2

Step-by-step solution

Component of ⃗A along ⃗B = (⃗A·⃗B)/(|⃗B|) = (2 + 6 - 2)/(√1 + 4 + 4) = 6/3 = 2 m.

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