Question

When working with vectors, you will often see right triangles. What are the consistent properties of these triangles?

Answer 1

Answer:

a) and c)

Explanation:

• Any vector can be expressed as a vector sum of its x- and -y components, as follows:

        v = vₓ* x + vy* y

• where vₓ = x- component, x= unit vector in the x direction, vy = y-component, y = unit vector in the y direction.

• If we add the components graphically, using the head-to-tail method, it will be defined a right triangle, being the vector sum of both components (the vector itself) the hypotenuse of the triangle.
• As both components are perpendicular, they will be always lined up with the x- and y- axes.