1. Find the component form of the vector that represents the velocity of an airplane descending at a speed of 100 mph at an angle of 45° below the horizontal. (Leave answers in exact form)

Step-by-step explanation:

The vector has a module of 100 and a angle of - 45° (negative because it is below the horizontal). So, to find its components, we need to use the sine and cosine relation of its angle:

horizontal component = module * cos (angle)

horizontal component = 100 * cos (-45)

horizontal component = 70.71

vertical component = module * sin (angle)

vertical component = 100 * sin (-45)

vertical component = - 70.71

So the vector in the component form is

The negative sign of the vertical component means its direction is downwards.