AP EAMCET · Maths · Vector Algebra
If \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) are three vectors such that \(\mathbf{a} \times \mathbf{b}=\mathbf{c}, \mathbf{b} \times \mathbf{c}=\mathbf{a}\) and \(\mathbf{a}, \mathbf{b}, \mathbf{c}\) are mutually perpendicular to each other, then \(|\mathbf{b}|\) is equal to
- A -1 only
- B 0 only
- C 1 only
- D \(\pm 1\)
Answer & Solution
Correct Answer
(C) 1 only
Step-by-step Solution
Detailed explanation
It is given that \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) are mutually perpendicular vectors, such that \(\mathbf{a} \times \mathbf{b}=\mathbf{c}\) and \(\mathbf{b} \times \mathbf{c}=\mathbf{a}\). So, \[ (b \times c) \times b=c \] \(\Rightarrow\) (b b)…
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