Given vectors

/bar (A)=hat(x)2-hat(y)+hat(z)3(,)/(b)ar (B)=hat(y)+hat(z)

, and

/bar (C)=hat(x)2+hat(z)3

, find:\ a. A and

hat(a)

\ b. The component of

/bar (B)

along

/bar (C)

\ c. The component of

/bar (B)

perpendicular to

/bar (C)

\ d.

/bar (A)(\\\\times )/(b)ar (C)

\ e.

\\\\theta _(AC)

\ f.

/bar (A)*(/bar (B)(\\\\times )/(b)ar (C))

\ g.

/bar (A)\\\\times (/bar (B)(\\\\times )/(b)ar (C))

\ h.

hat(x)(\\\\times )/(b)ar (B)

, and\ i.

(/bar (A)\\\\times hat(y))*hat(z)

1. Given vectors A=x^2y^+z^3,B=y^+z^, and C=x^2+z^3, find: a. A and a^ b. The component of B along C c. The component of B perpendicular to C d. AC e. AC f. A(BC) g. A(BC) h. x^B, and i. (Ay^)z^