Evaluate the expression. r = <9, -7, -1>, v = <2, 2, -2>, w = <-5, -2, 6> v β wA) <-18, 14, -2>B) -26C) 1D) <-10, -4, -12>
Question
Answer:
In general ifΒ u = <a,b,c>
v = <d,e,f>
then
u dot v = a*d + b*e + c*f = dot product of the two vectors
In words: multiply the x coordinates together, then the y together and then z together. Finally add up those three products
So,
v dot w = <2,2,-2> dot <-5,-2,6>
v dot w = 2*(-5) + 2*(-2) + (-2)*6
v dot w = -10 - 4 - 12
v dot w = -26
Answer: B) -26
solved
general
10 months ago
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