Final answer:
To find the x, y, and z components of a vector, use the equations Ax = A cos 0 and Ay = A sin.
Step-by-step explanation:
In a rectangular (Cartesian) xy-coordinate system, the x and y-components of a vector can be found using trigonometric functions. The x-component (Ax) of a vector is equal to the magnitude of the vector (A) multiplied by the cosine of the angle (θ) it makes with the x-axis. Similarly, the y-component (Ay) is equal to the magnitude of the vector multiplied by the sine of the angle.
For example, if we have a vector of magnitude 5 at an angle of 30 degrees with the x-axis, the x-component would be 5 * cos(30) and the y-component would be 5 * sin(30).