# Let v1 = (1,6) and v2 = (5,-3). a. Compute v1 + v2, v1 – v2, and v2 – v1. b. Sketch v1, v2, v1 + v2, v1 – v2, and v2 – v1 on the a graph.

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Expert Answers

crmhaske | Certified Educator

The rules of vector addition and substraction are simply to add or subtract the values for each axis.

i.e., `(x,y)+(m,n)=(x+m,y+n)`

i.e., `(x,y)-(m,n)=(x-m,y-n)`

a)

`v_1+v_2=(1,6)+(5,-3)=(6,3)`

`v_1-v_2=(1,6)-(5,-3)=(-4,9)`

`v_2-v_1=(5,-3)-(1,6)=(4,-9)`

b)

v1 = (1,6)

v2 = (5,-3)

v1 + v2 = (6,3)

v1 - v2 = (-4,9)

v2 - v1 = (4,-9)

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