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Mathematics 21 Online
OpenStudy (mia040400):

Evaluate the expression. r = <9, -7, -1>, v = <2, 2, -2>, w = <-5, -2, 6> v ⋅ w

OpenStudy (phi):

multiply "corresponding elements" and then add up the 3 products.

OpenStudy (mia040400):

i'm just really confused tbh. can you try and explain it a little please...?

OpenStudy (phi):

find the first number in v and in w, and multiply them. what do you get ?

OpenStudy (mia040400):

-10

OpenStudy (phi):

now do the "middle numbers". what do you get ?

OpenStudy (mia040400):

-4

OpenStudy (phi):

and the last ?

OpenStudy (mia040400):

-12

OpenStudy (phi):

now add up those 3 numbers

OpenStudy (mia040400):

-26?

OpenStudy (mia040400):

that's an answer choice! thank you so much!

OpenStudy (phi):

yes -26 is the "dot product" of vector v with vector w

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