Part A

given that P=(5,4), Q=(7,3), R=(8,6), and S=(4,1), find the component form of the vector PQ+4RS.
a.(18,19)
b.(-2,-6)
c.(-14,-21)
d.(-18,-19)

Part B
Use the information from part A to find the magnitude of the vector PQ+4RS.
a. 2sqrt10
b. 7sqrt13
c. sqrt35
d. 637

6 answers

I don't see your choices.
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P=(5,4), Q=(7,3), R=(8,6), and S=(4,1), find the component form of the vector PQ+4RS
To get you started,
PQ = Q-P = (7-5,3-4) = (2,-1)
RS = S-R = (4-8,1-6) = (-4,-5)
So, PQ+4RS = (2,-1)+4(-4,-5) = ...
Using the info. oobleck gave, the answer would be C because 4(-4,-5) is just (-16,-20), and that plus (2,-1) is (-16 + 2, -20-1), which is just (-14,-21) in turn.
Using the information oobleck gave, the answer would be C because 4(-4,-5) is just (-16,-20), and that plus (2,-1) is (-16 + 2, -20-1), which is just (-14,-21) in turn.
Using the info. oobleck gave, the answer would be C because 4(-4,-5) is just (-16,-20), and that plus (2,-1) is (-16 + 2, -20-1), which in turn is just (-14,-21).
Using the information oobleck gave, the answer would be C because 4(-4,-5) is just (-16,-20), and that plus (2,-1) is (-16 + 2, -20-1), which in turn is just (-14,-21).