Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

The two vectors $(\vec a = 2\hat i+\hat j+3\hat k,\,\vec b = 4\hat i-λ\hat j+6\hat k)$ are parallel if $λ$ is equal to:

Options:

2

-3

3

-2

Correct Answer:

-2

Explanation:

$\vec a ||\vec b⇒\vec a=k\vec b$

$\frac{2}{4}=\frac{1}{-λ}=\frac{3}{6}$

$λ=-2$