Vectors Question 122
Question: If two vectors $ 2\hat{i}+3\hat{j}-\hat{k} $ and $ -4\hat{i}-6\hat{j}-\lambda \hat{k} $ are parallel to each other then value of l be
Options:
A) 0
B) 2
C) 3
D) 4
Correct Answer: B Let $ \overrightarrow{A}=2\hat{i}+3\hat{j}-\hat{k} $ and $ \overrightarrow{B}=-4\hat{i}-6\hat{j}+\lambda \hat{k} $ $ \overrightarrow{A} $ and $ \overrightarrow{B} $ are parallel to each other $ \frac{a_1}{b_1}=\frac{a_2}{b_2}=\frac{a_3}{b_3} $ i.e. $ \frac{2}{-4}=\frac{3}{-6}=\frac{-1}{\lambda } $
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Answer:
Solution:
$ \Rightarrow \lambda =2 $ .
BETA
