JEE Mains · Maths · STD 12 - 10. vector algebra
The sum of the distinct real values of \(\mu \), for which the vectors, \(\mu \hat i + \hat j + \hat k,\,\hat i + \mu \hat j + \hat k,\,\hat i + \hat j + \mu \hat k\) are co-planar, is
- A \(-1\)
- B \(0\)
- C \(1\)
- D \(2\)
Answer & Solution
Correct Answer
(A) \(-1\)
Step-by-step Solution
Detailed explanation
\(D=\left|\begin{array}{ccc}{\mu} & {1} & {1} \\ {1} & {\mu} & {1} \\ {1} & {1} & {\mu}\end{array}\right|, R_{1} \rightarrow R_{2}+R_{3}(\mu+2)\left|\begin{array}{ccc}{1} & {1} & {1} \\ {1} & {\mu} & {1} \\ {1} & {1} & {\mu}\end{array}\right|\),…
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