First slide

Vectors

Question

If $\hat{A}$ is a unit vector in a given direction, then the value of $\hat{A} \cdot \frac{d \hat{A}}{d t}$ is

Moderate

A

0
B

1
C

$\frac{1}{2}$
D

2

Solution

Since, $\hat{A}$ is a unit vector in a given direction. It should be a constant unit vector.Therefore $\frac{d \hat{A}}{d t} = 0$ .
Therefore , $\hat{A} \cdot \frac{d \hat{A}}{d t} = 0$

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