AP EAMCET · Maths · Vector Algebra
If the vectors \(\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}, \lambda \hat{\mathbf{i}}-4 \hat{\mathbf{j}}+\hat{\mathbf{k}}\) are orthogonal to each other, then \(\lambda\) is equal to
- A \(5\)
- B \(-5\)
- C \(8\)
- D \(-8\)
Answer & Solution
Correct Answer
(C) \(8\)
Step-by-step Solution
Detailed explanation
Let \(\mathbf{a}=\hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}\) and \[ \mathbf{b}=\lambda \hat{\mathbf{i}}-4 \hat{\mathbf{j}}+\hat{\mathbf{k}} \] Since, \(\mathbf{a}\) and \(\mathbf{b}\) are orthogonal to each other…
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