Question

Vector V has components of (6,9) determine the angle in degrees that vector vee makes with the X axis

Answer 1

Given :

Vector V has components of (6,9).

To Find :

The angle in degrees that vector V makes with the x-axis.

Solution :

The x-component of vector is, x = 6 units.

The y-component of vector is, y = 9 units.

So, the angle the vector makes from the horizon is :

$\theta = tan^{-1}{\dfrac{y}{x}}\\\\\theta = tan^{-1}{\dfrac{9}{6}}\\\\\theta = 56.31^o$

Hence, this is the required solution.