AP EAMCET · Maths · Vector Algebra
Suppose \(\overrightarrow{\mathbf{a}}=\lambda \hat{\mathbf{i}}-7 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}, \overrightarrow{\mathbf{b}}=\lambda \hat{\mathbf{i}}+\hat{\mathbf{j}}+2 \lambda \hat{\mathbf{k}}\). If the angle between \(\overrightarrow{\mathbf{a}}\) and \(\overrightarrow{\mathbf{b}}\) is greater than \(90^{\circ}\), then \(\lambda\) satisfies the inequality
- A \(-7 < \lambda < 1\)
- B \(\lambda>1\)
- C \(1 < \lambda < 7\)
- D \(-5 < \lambda < 1\)
Answer & Solution
Correct Answer
(A) \(-7 < \lambda < 1\)
Step-by-step Solution
Detailed explanation
Given, \(\overrightarrow{\mathbf{a}}=\lambda \hat{\mathbf{i}}-7 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}, \overrightarrow{\mathbf{b}}=\lambda \hat{\mathbf{i}}+\hat{\mathbf{j}}+2 \lambda \hat{\mathbf{k}}\)…
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