Answer:
[tex]x = A cos\theta[/tex]
Step-by-step 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):
[tex]cos\theta = \frac{x}{A}[/tex]
Multiply both sides by A
[tex]A * cos\theta = \frac{x}{A} * A[/tex]
[tex]A * cos\theta = x[/tex]
[tex]A cos\theta = x[/tex]
Reorder the equation
[tex]x = A cos\theta[/tex]
Hence, the x component of A is: [tex]Acos\theta[/tex]
