Questions and Solutions

Class: 12 Subject: Math Type: Mcq Year: 2023

Question 1:

What is the value of \(\frac{\text{projection of }\vec{a}\text{ on }\vec{b}}{\text{projection of }\vec{b}\text{ on }\vec{a}}\) for vectors \(\vec{a}=2\hat{i}-3\hat{j}-6\hat{k}\) and \(\vec{b}=2\hat{i}-2\hat{j}+\hat{k}\)?

  • A. \(\frac{3}{7}\)
  • B. \(\frac{7}{3}\)
  • C. \(\frac{4}{3}\)
  • D. \(\frac{4}{7}\)
Class: 12 Subject: Math Type: Mcq Year: 2023

Question 2:

If \(\vec{a}\) and \(\vec{b}\) are two vectors such that \(\vec{a}.\vec{b}>0\) and \(|\vec{a}.\vec{b}|=|\vec{a}\times\vec{b}|\), then the angle between \(\vec{a}\) and \(\vec{b}\) is:

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