AP EAMCET · Maths · Vector Algebra
Let \(\mathbf{A}=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-2 \hat{\mathbf{k}}\) and \(\mathbf{B}=\hat{\mathbf{i}}+\hat{\mathbf{j}}\). If \(C\) is a vector such that \(\mathbf{A} \cdot \mathbf{C}=|\mathbf{C}|,|\mathbf{C}-\mathbf{A}|=2 \sqrt{2}\) and the angle between \(\mathbf{A} \times \mathbf{B}\) and \(\mathbf{C}\) is \(30^{\circ}\), then the value of \(|(\mathbf{A} \times \mathbf{B}) \times \mathbf{C}|\) is
- A \(\frac{2}{3}\)
- B \(\frac{3}{2}\)
- C 3
- D 2
Answer & Solution
Correct Answer
(B) \(\frac{3}{2}\)
Step-by-step Solution
Detailed explanation
Since, \(\mathbf{A}=2 \hat{\mathbf{i}}+\hat{\mathbf{j}}-2 \hat{\mathbf{k}}\) and \(\mathbf{B}=\hat{\mathbf{i}}+\hat{\mathbf{j}}\) so…
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