(695, #29) (a) Draw the vectors a = < 3, 2 >, b = <
2, -1 >, and c = < 7, 1 >.
(b)Show, by means of a sketch, that there are scalars s and t
such that c = sa + tb.
(c)Find the exact values of s and t.
Solution:
The graph above includes the vectors
in blue and the scalar multiples in red. From the graph the values
of s and t can be estimated to be s = 1.3 and
t = 1.5.
in blue and the scalar multiples in red. From the graph the values
of s and t can be estimated to be s = 1.3 and
t = 1.5.
