TITLE: Solution to Problem6
# !b1 Problem6:
Find the cross product and the inner product between
   the vectors (i+j) and (i-j+k).

!b3 SOLUTION:
Piece of cacke...
> i := [1,0,0]: j := [0,1,0]: k := [0,0,1]:
# the crossproduct is,
> crossprod( i+j, i-j+k );
                                  [1, -1, -2]

# and the dotprod is,
> dotprod(i+j,i-j+k);
                                       0

# gosh this is soooo easy.... try doing it by hand using the
distributivity property for the dot and cross products.
Good exercise... DO IT!

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