Question

Vector a has a magnitude of 5 m and is directed east. vector b has magnitude of 4m and is directed 35 degrees west of north.

A)What is the magnitude and direction of vector a + vector b

b)What is the magnitude and direction of vector b- vector a?

I should have gotten
a)4.2m at 40 degrees east of north
b)8m at 24 degrees north of west

I am confused by this problem


Change vector b to N,E coordinates.

I get B= -2.3E + 3.3N

Now add them for part a.
A+ B= 5E -2.3E + 3.3N and that converts to the answer given.

Answer 1

For part b, subtract them.
B-A= -2.3E + 3.3N - 5E = -7E + 3.3N and that converts to the answer given.