Find the value of λ if the vectors, a = \(2 \hat{i}-\hat{j}+\hat{k}\), b = \(\hat{i}+2 \hat{j}-3 \hat{k}\) and c = \(3 \hat{i}-\lambda \hat{j}+5 \hat{k}\) are coplanar.
A. 4
B. -2
C. -6
D. 5
Answer:A
Find the value of λ if the vectors, a = \(2 \hat{i}-\hat{j}+\hat{k}\), b = \(\hat{i}+2 \hat{j}-3 \hat{k}\) and c = \(3 \hat{i}-\lambda \hat{j}+5 \hat{k}\) are coplanar.
A. 4 B. -2 C. -6 D. 5