Given vectors
A=hat(x)4+hat(y)2-hat(z)5
B=hat(x)3-hat(y)7
C=hat(y)6-hat(z)8
Find:
(a) A and hat(a),
(b) The component of B along C,
(c) \theta _(AC),
(d) A\times C,
(e) A*(B\times C),
(f) A\times (B\times C),
(g) hat(x)\times B,
(h) (A\times hat(y))*hat(z).