Solve this following


Let $\vec{\alpha}=(\lambda-2) \vec{a}+\vec{b}$ and $\vec{\beta}=(4 \lambda-2) \vec{a}+3 \vec{b} \quad$ be

two given vectors where vectors $\vec{a}$ and $\vec{b}$ are non-collinear. The value of $\lambda$ for which vectors $\vec{\alpha}$ and $\vec{\beta}$ are collinear, is :


  1. $-3$

  2. 4

  3. 3

  4. $-4$

Correct Option: , 4


$\vec{\alpha}=(\lambda-2) \vec{\alpha}+\vec{b}$

$\vec{\beta}=(4 \lambda-2) \vec{\alpha}+3 \vec{b}$

$\frac{\lambda-2}{4 \lambda-2}=\frac{1}{3}$

$3 \lambda-6=4 \lambda-2$


$\therefore$ Option

Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now