Vector Algebra Question 112

Question: sThe vectors $ \mathbf{i}+2\mathbf{j}+3\mathbf{k}, $ $ \lambda \mathbf{i}+4\mathbf{j}+7\mathbf{k}, $ $ -3\mathbf{i}-2\mathbf{j}-5\mathbf{k} $ are collinear, if l equals

[Kurukshetra CEE 1996]

Options:

A) 3

B) 4

C) 5

D) 6

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ \begin{vmatrix} 1 & 2 & 3 \\ \lambda & 4 & 7 \\ -3 & -2 & -5 \\ \end{vmatrix} ,=0\Rightarrow \lambda =3. $