TS EAMCET · Maths · Vector Algebra
Let \(\mathbf{v}=2 \mathbf{i}+\mathbf{j}-\mathbf{k}\) and \(\mathbf{w}=\mathbf{i}+3 \mathbf{k}\). If \(\mathbf{u}\) is any unit vector, then the m\(\sqrt{59}\) aximum value of the scalar triple product \([\mathbf{u} \mathbf{v} \mathbf{w}]\) is
- A 1
- B \(\sqrt{10}+\sqrt{6}\)
- C \(\sqrt{59}\)
- D \(\sqrt{60}\)
Answer & Solution
Correct Answer
(C) \(\sqrt{59}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { Since, }[\mathbf{u} \mathbf{v} \mathbf{w}]=\mathbf{u} \cdot(\mathbf{v} \times \mathbf{w}) \\ & \Rightarrow[\mathbf{u} \mathbf{v} \mathbf{w}] \leq|\mathbf{u} \| \mathbf{v} \times \mathbf{w}| \\ & \Rightarrow[\mathbf{u} \mathbf{v} \mathbf{w}]…
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