TS EAMCET · Maths · Vector Algebra
Let \(\overrightarrow{\mathbf{a}}\) be a unit vector, \(\overrightarrow{\mathbf{b}}=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}}\) and \(\overrightarrow{\mathbf{c}}=\hat{\mathbf{i}}+3 \hat{\mathbf{k}}\). Then, maximum value of \([\overrightarrow{\mathbf{a}} \overrightarrow{\mathbf{b}} \overrightarrow{\mathbf{c}}]\) is
- A \(-1\)
- B \(\sqrt{10}+\sqrt{6}\)
- C \(\sqrt{10}-\sqrt{6}\)
- D \(\sqrt{59}\)
Answer & Solution
Correct Answer
(D) \(\sqrt{59}\)
Step-by-step Solution
Detailed explanation
Given that, \(\overrightarrow{\mathbf{b}}=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}} \text { and } \overrightarrow{\mathbf{c}}=\hat{\mathbf{i}}+3 \hat{\mathbf{k}}\) Now,…
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