Sorry if this is the wrong section, but it came from my Calc book.

Given: $\displaystyle a = 3i - 4j - k$ and $\displaystyle b = 2i + 5k$

Are these answers correct?

a) a dot b = 1

b) component of a in the direction of b = $\displaystyle 1/\sqrt{29}$

c) projection of a in the direction of b = < 2/29, 0, 5/29 >

d) component of b in the direction of a = $\displaystyle 1/\sqrt{26}$

e) projection of b in the direction of a = < 3/26, -2/13, -17/26 >