# Consider the following vectors: v = 4i, w = j, how do you find the angle between v and w?

Nov 11, 2015

${90}^{\circ}$

#### Explanation:

Since $\hat{i}$ is a unit vector along the x-axis, vector v is 4 units along the positive x-axis.

Since $\hat{j}$ is a unit vector along the y-axis, vector w is 1 unit along the positive y-axis.

The x and y axes are perpendicular to each other hence so are the vectors.
We say these 2 vectors are orthogonal and hence their inner product will be zero, that is $v \cdot w = 0$