Target Exam

CUET

Subject

Section B1

Chapter

Vectors

Question:

The projection vector of $\mathbf{a}$ on $\mathbf{b}$ is

Options:

$\left( \frac{\mathbf{a \cdot b}}{|\mathbf{b}|^2} \right) \mathbf{b}$

$\frac{\mathbf{a \cdot b}}{|\mathbf{a}|}$

$\frac{\mathbf{a \cdot b}}{|\mathbf{a}|}$

$\left( \frac{\mathbf{a \cdot b}}{|\mathbf{a}|^2} \right) \mathbf{b}$

Correct Answer:

$\left( \frac{\mathbf{a \cdot b}}{|\mathbf{b}|^2} \right) \mathbf{b}$

Explanation:

The correct answer is Option (1) → $\left( \frac{\mathbf{a \cdot b}}{|\mathbf{b}|^2} \right) \mathbf{b}$ ##

Projection vector of $\mathbf{a}$ on $\mathbf{b}$ is given by $= \frac{\mathbf{a \cdot b}}{|\mathbf{b}|^2} \cdot \mathbf{b}$