JEE Mains · Maths · STD 12 - 11. three dimension geometry
The lines \(\overrightarrow{ r }=(\hat{ i }-\hat{ j })+\ell(2 \hat{ i }+\hat{ k })\) and \(\overrightarrow{ r }=(2 \hat{ i }-\hat{ j })+ m (\hat{ i }+\hat{ j }-\hat{ k })\)
- A Intersect when \(\ell=1\) and \(m=2\)
- B Intersect when \(\ell=2\) and \(m=\frac{1}{2}\)
- C Do not intersect for any values of \(\ell\) and \(m\)
- D Intersect for all values of \(\ell\) and \(m\)
Answer & Solution
Correct Answer
(C) Do not intersect for any values of \(\ell\) and \(m\)
Step-by-step Solution
Detailed explanation
\(\overrightarrow{ r }=\hat{ i }(1+2 \ell)+\hat{j}(-1)+\hat{ k }(\ell)\) \(\overrightarrow{ r }=\hat{ i }(2+ m )+\hat{j}( m -1)+\hat{ k }(- m )\) For intersection…
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