how do you tell if two vectors vertical components are equal?

If the components along a vertical axis are the same number, then they are equal. If you don't know what the component is (because vertical is not one of your coordinate axes, for example), than form the dot product of the vector with a vertical unit vector.

okay, thanks!

To determine if two vectors have equal vertical components, you need to compare their y-components. The y-component represents the vertical direction of a vector.

Here are the steps to tell if two vectors have equal vertical components:

Step 1: Write down the components of the two vectors.

Let's say we have two vectors, A and B, and their components are as follows:
Vector A: Ax = Aᵤ, Ay = Aᵥ
Vector B: Bx = Bᵤ, By = Bᵥ

Step 2: Check if the y-components are equal.

Compare the y-components of both vectors, Ay and By. If Ay = By, then the vertical components are equal.

For example, if Ay = 3 and By = 3, then the vertical components of vectors A and B are equal.

Keep in mind that for two vectors to be completely equal, both their horizontal (x-components) and vertical (y-components) need to be equal. Comparing the vertical components alone only gives information about the vertical alignment of the vectors.