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

Given: and

Are these answers correct?

a) a dot b = 1

b) component of a in the direction of b =

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

d) component of b in the direction of a =

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