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MHT CET 2019 (3 May, Shift 1) · Scalar (Dot) Product

Scalar (Dot) Product question from MHT CET 2019 (3 May, Shift 1)

Q21MHT CET 2019 · 3 MAY · SHIFT 1Easy

Scalar (Dot) Product

The vectors (A+B)(\mathbf{A} + \mathbf{B}) and (A−B)(\mathbf{A} - \mathbf{B}) are at right angles to each other. This is possible under the condition

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Answer: (a)

  1. (A+B)⋅(A−B)=A2−B2=0(\mathbf{A} + \mathbf{B}) \cdot (\mathbf{A} - \mathbf{B}) = A^2 - B^2 = 0
  2. So ∣A∣=∣B∣|A| = |B|, answer (a).
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