Answer
$C_{x}=-8.0, C_{y} =-6.1$
Work Step by Step
Vectors A and C are perpendicular, so the dot product would return 0.
$A_{x} \times C_{x} + A_{y}\times C_{y} = 0$
Which gives, $5.0C_{x}-6.5C_{y}=0$
The dot product of B and C returns 15, so
3.5$C_{x}$-7.0$C_{y}$=15.0
With the 2 equations, we solve it and returns
$C_{x}=-8.0, C_{y} =-6.1$
You may proceed to check that the dot product returns the necessary values.
