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(b) Let vector y be the vector of length 8 and in the opposite direction as vector v=...
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(Level 1) Associate Educator, Expert, Newton
First, the vector <1,1,0> has length
If we wanted it to have length 8, we would need to multiply each entry by `8/sqrt(2)`
Thus, a vector in the same direction as v, but with length 8, would be:
This simplifies to:
`<4 sqrt(2), 4 sqrt(2), 0>`
To get a vector that is the same length but in the opposite direction, multiply each entry by -1:
`<-4 sqrt(2), -4 sqrt(2), 0>`
This vector has length 8, but is in the opposite direction of v
Posted by mlehuzzah on January 15, 2013 at 11:31 PM (Answer #1)
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