Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Vectors

Question:

The projection of $\hat{i}-\hat{j}$ on the vector $\hat{i}+\hat{j}$ is:

Options:

$\sqrt{2}$

$\frac{1}{\sqrt{2}}$

2

×0

Correct Answer:

×0

Explanation:

The correct answer is Option (4) → 0

Let $\vec a$ and $\vec b$ be two vectors.

Projection of $\vec a$ on $\vec b$ = $\frac{a.b}{|b|^2}\hat b$

$a=\hat i-\hat j$

$b=\hat i+\hat j$

then,

$a.b=1×1-1×1=0$

∴ Projection of $\vec a$ on $\vec b$ = 0