Question

What is the xcomponent of A ⃗ x?

Answer 1

`x = A cos\theta`

Explanation:

Given

Resultant Vector = A

Required

Determine the x component of vector A

To answer this question, I'll make use of the attachment

In the attachment, the relationship between A and the x component is as follows (using Pythagoras theorem):

`cos\theta = (x)/(A)`

Multiply both sides by A

`A * cos\theta = (x)/(A) * A`

`A * cos\theta = x`

`A cos\theta = x`

Reorder the equation

`x = A cos\theta`

Hence, the x component of A is:
`Acos\theta`