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(note: the x, y , and z are written as small sub next to the U, V, and W, I just can't type it like it is in the book)

The three vectors

**U**= Uxi + 3j + 2k

**V**= -3i + Vyj + 3k

**W**= -2i + 4j + Wzk

are mutually perpendicular. Use the dot product to determine the compnents of Ux, Vy, and Wz.

The answers in the back of the book are Ux = 2.857, Vy = 0.857, Wz = -3.143.

I am using the dot product definition: U dot V = UxVx+UyVy+UzVz

so I get (Ux)(-3)+(3)(Vy)+(2)(3) = 0

I set it all to zero because they are perpendicular to each other.

So simplifying for Ux, i get Ux = Vy + 2. THen I plug Vy +2 for Ux, but then I go in circles from there.