Search any question & find its solution
Question:
Answered & Verified by Expert
If two vectors $2 \hat{i}+3 \hat{j}-\hat{k}$ and $-4 \hat{i}-6 \hat{j}-2 \hat{k}$ are parallel to each other then value of $\lambda$ be
Options:
Solution:
2358 Upvotes
Verified Answer
The correct answer is:
2
Let $\vec{A}=2 \hat{i}+3 \hat{j}-\hat{k}$ and $\vec{B}=-4 \hat{i}-6 \hat{j}+$,
$\frac{a_1}{b_1}=\frac{a_2}{b_2}=\frac{a_3}{b_3}$ i.e. $\frac{2}{-4}=\frac{3}{-6}=\frac{-1}{\lambda} \Rightarrow \lambda=2$.
$\vec{A}$ and $\vec{B}$ are parallel to each other.
$\frac{a_1}{b_1}=\frac{a_2}{b_2}=\frac{a_3}{b_3}$ i.e. $\frac{2}{-4}=\frac{3}{-6}=\frac{-1}{\lambda} \Rightarrow \lambda=2$.
$\vec{A}$ and $\vec{B}$ are parallel to each other.
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.