SOLUTION: Find the dot product v . w and state whether the vexctors are parallel, orthognonal, or neither:
v = i + j and w = - i + j
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Question 166635: Find the dot product v . w and state whether the vexctors are parallel, orthognonal, or neither:
v = i + j and w = - i + j
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since v = i + j and w = - i + j, this means that v=<1,1> and w=<-1,1>
So their dot product is
v · w = 1*1+1*(-1) = 1 - 1 = 0
Since their dot product is equal to zero, this means that the two vectors are orthogonal (perpendicular)
Here's a picture to help visualize the problem and verify the answer:
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