AP EAMCET · Maths · Vector Algebra
The number of vectors of unit length perpendicular to the two vectors \(\mathbf{a}=(1,1,0)\) and \(\mathbf{b}=(0,1,1)\) is
- A \(1\)
- B \(2\)
- C \(3\)
- D \(\infty\)
Answer & Solution
Correct Answer
(B) \(2\)
Step-by-step Solution
Detailed explanation
Given, \(\mathbf{a}=\hat{\mathbf{i}}+\hat{\mathbf{j}}\) and \(\mathbf{b}=\hat{\mathbf{j}}+\hat{\mathbf{k}}\) Unit vector perpendicular to both \(\mathbf{a}\) and \(\mathbf{b}\), \(\pm \frac{\mathbf{a} \times \mathbf{b}}{|\mathbf{a} \times \mathbf{b}|}\) \(\therefore\) Two…
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