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AP EAMCET · Maths · Vector Algebra

Let \(u\) and \(v\) be two non zero vectors, if \(|u+v|=|u-v|\), then

  1. A \(u\) and \(v\) have the same direction
  2. B \(u\) and \(v\) are perpendicular
  3. C \(u\) and \(v\) have the opposite direction
  4. D Data Insufficient
Verified Solution

Answer & Solution

Correct Answer

(B) \(u\) and \(v\) are perpendicular

Step-by-step Solution

Detailed explanation

\(|\mathrm{u}+\mathrm{v}|=|\mathrm{u}-\mathrm{v}|\) Squaring on both sides,…