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. $