The value of \(\lambda\), for which the two vectors \(2\hat{\imath}-\hat{\jmath} + 2\hat{k}\) and \(3\hat{\imath} +\lambda\hat{\jmath}+\hat{k}\) are perpendicular, is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 8
Two vectors are perpendicular exactly when their dot product is zero:
\((2)(3) + (-1)(\lambda) + (2)(1) = 0\)
\(8 - \lambda = 0\)
\(\lambda = 8\)