Questions and Solutions

Class: 12 Subject: Math Type: Mcq Year: 2024

Question 1:

If vector \( \vec{a}=3\hat{i}+2\hat{j}-\hat{k} \) and vector \( \vec{b}=\hat{i}-\hat{j}+\hat{k} \), then which of the following is correct?

  • A. \( \vec{a}||\vec{b} \)
  • B. \( \vec{a}\perp\vec{b} \)
  • C. \( |\vec{b}|>|\vec{a}| \)
  • D. \( |\vec{a}|=|\vec{b}| \)
Class: 12 Subject: Math Type: Mcq Year: 2024

Question 2:

If \( \vec{a} + \vec{b} + \vec{c} = \vec{0} \), \( |\vec{a}| = \sqrt{37} \), \( |\vec{b}| = 3 \), and \( |\vec{c}| = 4 \), then the angle between \( \vec{b} \) and \( \vec{c} \) is:

  • A. \( \frac{\pi}{6} \)
  • B. \( \frac{\pi}{4} \)
  • C. \( \frac{\pi}{3} \)
  • D. \( \frac{\pi}{2} \)