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TS EAMCET · Maths · Vector Algebra

The vectors \(\mathbf{A B}=3 \mathbf{i}-2 \mathbf{j}+2 \mathbf{k}\) and \(\mathbf{B C}=\mathbf{i}-2 \mathbf{k}\) are the adjacent sides of a parallelogram. The angle between its diagonals is

  1. A \(\frac{\pi}{2}\)
  2. B \(\frac{\pi}{3}\) or \(\frac{2 \pi}{3}\)
  3. C \(\frac{3 \pi}{4}\) or \(\frac{\pi}{4}\)
  4. D None of these
Verified Solution

Answer & Solution

Correct Answer

(D) None of these

Step-by-step Solution

Detailed explanation

Given, \(\mathbf{A B}=3 \mathbf{i}-2 \mathbf{j}+2 \mathbf{k}\) and \(\quad \mathbf{B C}=\mathbf{i}-2 \mathbf{k}\)…