SOLUTION: Given that m=3i + 2j,n=2i + 2j and p=3i - j,find the unit vector in the opposite direction of 4m+3n-2p

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Question 1073745: Given that m=3i + 2j,n=2i + 2j and p=3i - j,find the unit vector in the opposite direction of 4m+3n-2p
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
So first find X=4m+3n-2p.
X=4*(3,2)+3(2,2)-2(3,-1)=(12,8)+(6,6)-(6,-2)=(12+6-6,8+6-(-2))=(12,8+6+2)=(12,16)
So the opposite direction would just negate the coordinates
Y=-X=(-12,-16)
So to make it a unit vector divide by the magnitude,
M=sqrt%2812%5E2%2B16%5E2%29=sqrt%28144%2B256%29=sqrt%28400%29=20
Y=(-12/20,-16/20)
Y=(-3/5,-4/5)