AP EAMCET · Maths · Vector Algebra
Let \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) be unit vectors such that \(\mathbf{a} \cdot \mathbf{b}=0=\mathbf{a} \cdot \mathbf{c}\) and the acute angle between \(\mathbf{b}\) and \(\mathbf{c}\) is \(\frac{\pi}{3}\), then \(|\mathbf{a} \times \mathbf{b}-\mathbf{a} \times \mathbf{c}|\) is equal to
- A \(1\)
- B \(\frac{1}{2}\)
- C \(2\)
- D \(\frac{3}{2}\)
Answer & Solution
Correct Answer
(A) \(1\)
Step-by-step Solution
Detailed explanation
Given, \(|\mathbf{a}|=|\mathbf{b}|=|\mathbf{c}|=1\) and \(\mathbf{a} \cdot \mathbf{b}=0=\mathbf{a} \cdot \mathbf{c}\) angle between \(\mathbf{b}\) and \(\mathbf{c}=\frac{\pi}{3}\) To find, \(|\mathbf{a} \times \mathbf{b}-\mathbf{a} \times \mathbf{c}|\) Given that,…
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