AP EAMCET · Maths · Vector Algebra
If \([\mathbf{a} \times \mathbf{b} \mathbf{b} \times \mathbf{c} \mathbf{c} \times \mathbf{a}]=\lambda[\mathbf{a} \mathbf{b} \mathbf{c}]^2\), then \(\lambda\) is equal to
- A \(0\)
- B \(1\)
- C \(2\)
- D \(3\)
Answer & Solution
Correct Answer
(B) \(1\)
Step-by-step Solution
Detailed explanation
Given, \([\mathrm{a} \times \mathrm{b} \quad \mathrm{b} \times \mathrm{c}\ c \times \mathrm{a}]=\lambda[\mathrm{abc}]^2\) As we know, the properties of cross product of three vectors, we have…
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