Question

What is the direction of a vector with an x component of -12 m and a y component of -15 m?

Answer 1

`51.34^(\circ)`

Step-by-step explanation:

Given that,

x component of a vector = -12 m

The y component of a vector = -15 m

We need to find the direction of a vector. The direction of a vector is given by :

`\tan\theta=(y)/(x)`

Put all the values,

`\tan\theta=(-15)/(-12)\\\\\theta=\tan^(-1)((-15)/(-12))\\\\\theta=51.34^(\circ)`

So, the direction of vector is
`51.34^(\circ)` to x component.