Calculate the given quantities if a = <1,1,-2>, b= <3,-2,1>, and c=<1,1,-5>.
a) 2a + 3b
b) |b|
c) Unit vector in the direction of b.
d) a (dot) b
e) a x b
f) comp a/b
g) proj a/b
h) Volume of the parallelepiped determined by a , b , and c.
i) Determine whether a and b are parallel, perpendicular or neither.