TS EAMCET · Maths · Vector Algebra
The direction ratios of a bisector of the angle between two lines whose direction ratios are \(1,1,2\) and \(\sqrt{3},-\sqrt{3}, 0\) are
- A \(1+\sqrt{3}, 1-\sqrt{3}, 2\)
- B \(1-\sqrt{18}, 1+\sqrt{18}, 2\)
- C \(1-\sqrt{3}, 1-\sqrt{3},-2\)
- D \(1,1,1\)
Answer & Solution
Correct Answer
(A) \(1+\sqrt{3}, 1-\sqrt{3}, 2\)
Step-by-step Solution
Detailed explanation
Let vectors along lines whose direction ratios are \(1,1,2\) and \(\sqrt{3},-\sqrt{3}, 0\). \(\mathbf{a}=\hat{\mathbf{i}}+\hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) and \(\mathbf{b}=\sqrt{3 \hat{\mathbf{i}}}-\sqrt{3} \hat{\mathbf{j}}\) \(\because \mathbf{a}\) and \(\mathbf{b}\) have…
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