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## Homework Statement

Vector has a magnitude of 5.4 m and is directed east. Vector has a magnitude of 3.5 m and is directed 36° west of north. What are (a) the magnitude and (b) the direction (from east) of a + b? What are (c) the magnitude and (d) the direction (from east) of b - a ? Round your angles to the nearest degree.

## The Attempt at a Solution

this is what i have attempted so far.

a) ax = 5.4m - 3.5sin36

= 3.34 m

bx = 3.5sin36

= 2.83 m

A = sqrt(3.34^2 + 2.83^2)

= 4.38 m

b) theta = arctan(2.83/3.34)

= 40.27 deg

c) ax = 5.4m + 3.5sin36

= 7.46 m

bx = 3.5sin36

= 2.83 m

A = sqrt(7.46^2 + 2.83^2)

= 7.98 m

d) STUCK.

arctan(2.83/7.46) = 20.79

I am using WileyPlus program, so they are able to detect if my answer is right or wrong. so far i have attempted these answers, and they accepted it EXCEPT the part D. i don't get what i did wrong.

thanks for the help