Question

A vector is 9.55m long and points in a -48.0 degree direction. find the x component​

Answer 1

x component = 6.39

y component = -7.09

formulas:

x = r * cos * β

y = r * sin * β

plug in numbers:

x = 9.55 * cos (-48°)

y = 9.55 * sin (-48°)

Answer 2

x=6.39 m

Step-by-step explanation:

Rectangular Components of a Vector

Vectors can be expressed in several forms, including the magnitude-angle form, and the rectangular-coordinates form.

If the magnitude r and angle β are given, we can find the rectangular coordinates (x,y) as follows:

`x=r\cos\beta`

`y=r\sin\beta`

The vector of the question has a magnitude of r=9.55 m and an angle β=-48°. The x-component is:

`x=9.55\cdot\cos(-48^\circ)`

Using a digital calculator:

x=6.39 m