Question

Find the direction angle of v for each vector.

$v=\mathit{i}+\sqrt{3}\mathit{j}$

Short answer

The angle of v is ${60}^o$.

Step-by-step solution

Step 1. Given information  

We have been given a vector $v=\mathit{i}+\sqrt{3}\mathit{j}$.

We have to find its direction.

Step 2. Write the formula 

The angle between the vector and complex axisi is given as

$\alpha ={\tan }^{-1}\frac{b}{a}$

Step 3. Substitute the values 

$$\begin{gathered} \alpha ={\tan }^{-1}\frac{\sqrt{3}}{1} \\ \alpha ={\tan }^{-1}\sqrt{3} \\ \alpha ={60}^o \end{gathered}$$