First slide

Scalars and Vectors

Question

Let $\vec{A} = \hat{i} A \cos θ + \hat{j} A \sin θ$ be any vector. Another vector $\vec{B}$ which is normal to A is

Easy

A

$\hat{i} B \cos θ + \hat{j} B \sin θ$
B

$\hat{i} B \sin θ + \hat{j} B \cos θ$
C

$\hat{i} B \sin θ - \hat{j} B \cos θ$
D

$\hat{i} B \cos θ - \hat{j} B \sin θ$

Solution

Dot product of two perpendicular vector will be zero.
Check for option (3)
$(\hat{i} A \cos θ + \hat{j} A \sin θ)$ . $(\hat{i} B \sin θ - \hat{j} B \cos θ)$ $= 0$

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