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For m=(-5,-6) and n= (6,-9) find the sum of the vector three times the magnitude of m and the vector two and one half times the magnitude of the opposite of n
m and n are vectors.
ok. the vectors we need to add together are: 3m=<-15,-18> and -(5/2)n=<-15,22.5>. Top add vectors, just add the components: <-15+(-15), -18+22.5>=<-30,4.5>
oh! I wasn't sure what to do with "5/2" so I left it as positive, which was the cause of my mistake! Thanks for helping me out, eseidl!
Do you have the answer key/is this correct?
Yes, I do and this is correct
sweet; i started second guessing myself for some reason :P
From what I know, an opposite vector has an opposite direction, but the same magnitude. Does this mean "5/2" is the direction of n? I wasn't sure what to do with it.
An opposite vector of n is -n. So (5/2)n is the same direction of n but re-scaled in length by a factor of 5/2. But (-5/2)n is the vector pointing in the opposite direction of n AND re-scaled in length by a factor of (5/2).
Yes. Thanks for your help. I really appreciate it! Gotta love the internet
for sure; and np :)
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