Answer:
<70.71, -70.71>
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 <70.71, -70.71>
The negative sign of the vertical component means its direction is downwards.