Consider the three displacement vectors
a=(3i+3j)meters,
b-(i-4j) m
c=(-2i+5j) m
use the component method to determine
a) the magnitude and direction of the vector d= a+b+c
b) the magnitude and direction of e=-a-b+c

Explanation:

(a)

Magnitude of =

                                                                     = 4.47 m

Let θ be the direction of vector D

θ = 63.44°

(b)

Magnitude of =

                                                                     = 8.485 m

Let θ be the direction of vector D

θ = 135°