Find the component form of the following vectors. Round your answers to the tenth.

Question

Magnitude of v = 50, direction angle θ = 50°

Answer 1

To find the component form of the vector with magnitude 50 and direction angle 50°, we can use the formulas:

x-component = magnitude * cosine(direction angle)
y-component = magnitude * sine(direction angle)

So, the x-component is:
x-component = 50 * cosine(50°) ≈ 50 * 0.6427876097 ≈ 32.139

And the y-component is:
y-component = 50 * sine(50°) ≈ 50 * 0.7660444431 ≈ 38.302

Therefore, the component form of the vector is approximately <32.139, 38.302>.