JEE Mains · Maths · STD 12 - 11. three dimension geometry
If the lines \(\overrightarrow{ r }=(\hat{ i }-\hat{ j }+\hat{ k })+\lambda(3 \hat{ j }-\hat{ k })\) and \(\overrightarrow{ r }=(\alpha \hat{i}-\hat{j})+\mu(2 \hat{i}-3 \hat{k})\) are coplanar, then distance of the plane containing these two lines from the point \((-0,0)\) is
- A \(\frac{2}{9}\)
- B \(\frac{2}{11}\)
- C \(\frac{4}{11}\)
- D \(2\)
Answer & Solution
Correct Answer
(B) \(\frac{2}{11}\)
Step-by-step Solution
Detailed explanation
\(\overrightarrow{ r }=(\hat{ i }-\hat{ j }+\hat{ k })+\lambda(3 \hat{ j }-\hat{ k }) \quad \ldots L 1\) \(\overrightarrow{ r }=(\alpha \hat{ i }-\hat{ j })+\mu(2 \hat{ i }-3 \hat{ k }) \quad \ldots L 2\) \(\cdot\) \(L1\) and \(L2\) are coplanar…
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