Chapter 11.2, Problem 91E

(a)

To determine

To graph: The given vectors $u=i+j$ and $v=j+k$ using a computer algebra system.

(b)

To determine

To prove: That the a and b must be 0 when $w=0$ for $w=au+bv$, $u=i+j$ and $v=j+k$.

(c)

To determine

To calculate: The a and b such that $w=i+2j+k$ for $w=au+bv$, $u=i+j$ and $v=j+k$.

(d)

To determine

To calculate: The a and b such that $w=i+2j+3k$ for $w=au+bv$, $u=i+j$ and $v=j+k$.