If vectors A = t i + t j and B = t 2 i + t 2 j are functions of time, then the value of t…

Physics · NEET · NTA ExamsBASIC MATHEMATICS AND VECTOR

If vectors \(\vec{A}=\cos \omega t \hat{i}+\sin \omega t \hat{j}\) and \(\vec{B}=\cos \frac{\omega t}{2} \hat{i}+\sin \frac{\omega t}{2} \hat{j}\) are functions of time, then the value of t at which they are orthogonal to each other is:
  1. t = 0
  2. \(t=\frac{\pi}{4 \omega}\)
  3. \(t=\frac{\pi}{2 \omega}\)
  4. \(\frac{m}{16}=1\)

Answer

(C) t= 2

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