How Do You Correctly Add and Subtract Multiple Vectors?

[k-rod AP 2010]

Homework Statement

vectorA: 6 @ 40^o, vectorD: 2 @ 90^o, vectorB: 10 @ 80^o

i have to do this problem: vectorA + vector D - vectorB

Homework Equations

The Attempt at a Solution

i had found the components to these vectors in previous problems to be:
vectorA: x=4.01 y=4.46 vectorD: x=0 y=2 vectorB: x=9.85 y=1.74

i added the total x and total y for all the vectors:
total x: (4.01+0+ -9.85)=-5.84 total y:(4.46+2+ -1.74)=4.72

i made the components for the vectorB negative because they were being subtracted but i am not sure if this is the proper procedure

these are the resultant calculations based off of the x and y totals
resultant magnitude: root((-5.84)^2 + (4.72)^2)= 7.51m
resultant angle: arctan(4.72/-5.84)=-38.9^o

Did i follow the proper procedure to add and subtract vectors in the same problem?

 

[The legend]

the procedure looks right to me... i haven't checked the calculations.

 

[zgozvrm]

Your procedure is right, but some of your calculations are incorrect.
The components of vector A are off
The components of vector D look good
The components of vector B are reversed

 

[k-rod AP 2010]

Its my first year in physics so i am not the best at it but thanks for the confirmation. i thought it was right but i wasnt sure.

and zgozvrm, u were right about my numbers, i was doing the problem in a rush so i must have reversed them, my bad.