posted by Cathy .
You are given vectors A = 5.0i - 6.5j & B = -3.5i + 7.0j. A third vector C lies on the xy-plane. Vector C is perpendicular to vector A, & the scalar product of C with B is 15.0. From this information, find the components of vector C.
If A is perpendicular to C, then A.C=0, or
(verify that A.C=0)
If in addition, C.B=15, we have
But C.B=15, therefore 12.25k=15, =>
Check my arithmetic and that the given conditions are satisfied.
I don't understand the flow in the math here. Please help me understand this solution by "dumbing it down" a bit.