The non-zero vectors $\vec b$ and $\vec

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

The non-zero vectors $\vec b$ and $\vec c$ are related by $\vec a=8\vec b$ and $\vec c =-7\vec b$. Then the angle between $\vec a$ and $\vec c$, is

Options:

$π/4$

$π/2$

$π$

Correct Answer:

$π$

Explanation:

We have, $\vec a =8b$ and $\vec c =-7b$

$⇒\vec a=\frac{-8}{7}\vec c$

$⇒\vec a$ and $\vec c$ are unlike parallel vectors.

⇒ Angle between $\vec a$ and $\vec c$ is $π$.