TS EAMCET · Maths · Three Dimensional Geometry
If \(\vec{a}, \vec{b}, \vec{c}\) are non-coplanar vector and the points \(\lambda \vec{a}+3 \vec{b}-\vec{c}, \vec{a}-\lambda \vec{b}+3 \vec{c}, 3 \vec{a}+4 \vec{b}-\lambda \vec{c}, \vec{a}-6 \vec{b}+6 \vec{c}\) are coplanar, then one of the values of \(\lambda\) is
- A 7
- B 5
- C 2
- D 1
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
Vectors lying on the plane are \((\lambda-1) \vec{a}+9 \vec{b}+7 \vec{c} ;(6-\lambda) \vec{b}-3 \vec{c} ; 2 \vec{a}+10 \vec{b}-(\lambda+6) \vec{c}\) These 3 vectors are coplanar.…
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