Question

Find the Value of x and y Geometry Angles Calculator.

Answer 1

To find the values of x and y components, Ax and Ay, of a vector, you need the magnitude and the angle of the vector. Use the formulas Ax = A cos(θ) and Ay = A sin(θ) to find Ax and Ay, keeping in mind that Ax + Ay ≠ A.

Step-by-step explanation:

To find the values of x and y components of a vector in geometry, often referred to as Ax and Ay respectively, you need to know the magnitude of the vector (also known as the length) and the angle it makes with the x-axis. Once this information is available, you can calculate the components based on the trigonometric relationships in a right triangle.

Steps :

1. Identify the x- and y-axes that will be used in the problem.
2. Given the magnitude (A) and the angle of the vector (often represented by Greek letters like theta), calculate the x-component (Ax) using the formula Ax = A cos(θ).
3. Calculate the y-component (Ay) using the formula Ay = A sin(θ).

It is important to note that Ax and Ay added together do not equal the magnitude of A, as they represent the orthogonal components of vector A in a 2D plane.