CUET · MATHS · PYQ PAPER 2023
The number of vectors of unit length perpendicular to both the vectors \(\vec{a} = \hat{i} + 2\hat{j} + 3\hat{k}\) and \(\vec{b} = \hat{i} - \hat{j} + 3\hat{k}\) is:
- A one
- B two
- C three
- D infinite
Answer & Solution
Correct Answer
(B) two
Step-by-step Solution
Detailed explanation
The unit vectors perpendicular to two non-parallel vectors \(\vec{a}\) and \(\vec{b}\) are given by \(\pm \frac{\vec{a} \times \vec{b}}{|\vec{a} \times \vec{b}|}\). Number of vectors: two
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