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Mathematics 8 Online
OpenStudy (kkbrookly):

Help please!

OpenStudy (kkbrookly):

Use the dot product to determine which of the following vector pairs are orthogonal. a) v=<-124,188> and w=<88,64> b) v=<-5,5> and w=<1,1>

OpenStudy (kkbrookly):

@dan815 @IrishBoy123 @TheSmartOne @SolomonZelman @mathmath333 @mathmate @kaylamarie081 @shifuyanli

OpenStudy (loser66):

what is the dot product?

OpenStudy (kkbrookly):

I think it's a formula.

OpenStudy (kkbrookly):

@freckles @jimboonman @peytonamberxoxo @jabez177 @ayyookyndall @puppylover0617 @quickthing

OpenStudy (kkbrookly):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

If you have two vectors v and w, where, v = <a,b> w = <c,d> then v dot w = a*c + b*d the first components (a and c) multiply. So do the second components (b and d). You then add up the products

jimthompson5910 (jim_thompson5910):

Rule: if v dot w = 0, then vector v is orthogonal to vector w.

OpenStudy (kkbrookly):

I got 1,120

jimthompson5910 (jim_thompson5910):

for which part?

OpenStudy (kkbrookly):

Well, I got -10,912 for multiplying a and c then I got 12,032 for multiplying b and d. Then I added them up to get 1,120.

jimthompson5910 (jim_thompson5910):

that is correct

OpenStudy (kkbrookly):

So the first set isn't orthogonal since they don't add up to zero?

jimthompson5910 (jim_thompson5910):

yes, the dot product isn't zero so they aren't orthogonal.

OpenStudy (kkbrookly):

I understand how to do this now so I can do the second set of numbers. Thank you so much!

jimthompson5910 (jim_thompson5910):

np

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