JEE Mains · Maths · STD 12 - 10. vector algebra
If \((1,5,35),(7,5,5),(1, \lambda, 7)\) and \((2 \lambda, 1,2)\) are coplanar, then the sum of all possible values of \(\lambda\) is
- A \(\frac{39}{5}\)
- B \(-\frac{39}{5}\)
- C \(\frac{44}{5}\)
- D \(-\frac{44}{5}\)
Answer & Solution
Correct Answer
(C) \(\frac{44}{5}\)
Step-by-step Solution
Detailed explanation
\(A (1,5,35), B (7,5,5), C (1, \lambda, 7), D (2 \lambda, 1,2)\) \(\overline{ AB }=6 \hat{ i }-30 \hat{ k }, \overline{ BC }=-6 \hat{ i }(\lambda-5) \hat{ j }+2 \hat{ k }\) \(\overline{ CD }=(2 \lambda-1) \hat{ i }+(1-\lambda) \hat{ j }-5 \hat{ k }\) Points are coplanar…
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