TS EAMCET · Maths · Vector Algebra
Let \(\mathbf{V}=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}\) and \(\mathbf{W}=\hat{\mathbf{i}}+3 \hat{\mathbf{k}}\). If \(\mathbf{U}\) is a unit vector, then the maximum value of \([\mathbf{U} \mathbf{V} \mathbf{W}]\) is
- A -1
- B \(\sqrt{10}+\sqrt{16}\)
- C \(\sqrt{59}\)
- D \(\sqrt{60}\)
Answer & Solution
Correct Answer
(C) \(\sqrt{59}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} \text { Given, } \mathbf{V} & =2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}} \\ \mathbf{W} & =\hat{\mathbf{i}}+3 \hat{\mathbf{k}} \\ \mathbf{V} \times \mathbf{W} & =\left|\begin{array}{ccc}\hat{\mathbf{i}} & \hat{\mathbf{j}} & \hat{\mathbf{k}} \\ 2 & 1 &…
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