Verified Solution • 2025–26 Session moderate

QAIPMT-2005-Ph-2536: NEET 2005 Physics - Class 11 AIPMT-2005-Ph-2536 Solution: If the angle between the vectors \( {A}\) and \( {B}\) is \(…

If the angle between the vectors A⃗\vec{A} and B⃗\vec{B} is θ\theta, the value of the product (B⃗×A⃗)⋅A⃗(\vec{B}\times\vec{A})\cdot\vec{A} is equal to

Multiple Choice Options

  • A BA2sin⁡θBA^2\sin\theta
  • B BA2cos⁡θBA^2\cos\theta
  • C BA2sin⁡θcos⁡θBA^2\sin\theta\cos\theta
  • D zero.

Step-by-Step Verified Solution

Let A _ _ B _ = C _ The cross product of B _ and A _ is perpendicular to the plane containing A _ and B _ i.e. perpendicular to B _ If a dot product of this cross product and A _ is taken, as the cross product is perpendicular to A _ , C _ _ A _ = 0 Therefore product of ( A _ _ B _ ) _ A _ = 0

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