- #1

Kawrae

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**Find the vector that satisfies the stated conditions: Length (17^1/2) and same direction as v = <7,0,-6>.**

The book gives the answer as being

**u**= (1/5)<7,0,-6>. Having some trouble getting this answer... here is how I went about attempting to solve it:

1. Finding the vector length of the given vector.

||v|| = (7^2 + 0^2 + -6^2)^(1/2)

= (49+0+36)^(1/2)

= (85)^(1/2)

2. Setting the two vectors equal...

||u|| = (17)^(1/2) = k||v|| Since multiples of the vector will give same direction

(17)^(1/2)/||v|| = k

So k = (17)^(1/2)/(85)^(1/2)

So then my answer would be

**u**= (17)^(1/2)/(85)^(1/2) <7,0,-6>.

Can anyone help point out where I am messing up?? Thank you