TS EAMCET · Maths · Vector Algebra
If the angle between the vectors \(2 \alpha^2 \hat{\mathbf{i}}+4 \alpha \hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(7 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\alpha \hat{\mathbf{k}}\) is obtuse, then
- A \(\alpha>\frac{1}{2}\)
- B \(0 < \alpha < \frac{1}{2}\)
- C \(\alpha < 0\)
- D \(|\alpha| < \frac{1}{2}\)
Answer & Solution
Correct Answer
(B) \(0 < \alpha < \frac{1}{2}\)
Step-by-step Solution
Detailed explanation
Given vectors \(2 \alpha^2 \hat{\mathbf{i}}+4 \alpha \hat{\mathbf{j}}+\hat{\mathbf{k}} \text { and } 7 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\alpha \hat{\mathbf{k}}\) Angle between these vector are obtuse…
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