Vector Addition?

Question

Given the following vectors:
A: Ax = 4 units, Ay = 3 units
B: Bx = 5 units, By = -3 units
C: Cx = -2 units, Cy = 1 unit

1) Find the directions and the magnitude of the vector A + B - C.

2) What vector do you need to add to the resultant vector A - B + C so that the sum of the vectors results in the null vector? Express it in terms of its direction and magnitude.

Answer 1

1. Find the root of the squares of the components(this gives magnitude).
A+B+C= (16+9)^1/2 + (25+9)^1/2 + (4+1)^1/2
= 5+√34 +√5