# Finding components vector

1. Oct 29, 2014

### Kieran12

1. The problem statement, all variables and given/known data
You are given vectors A⃗ = 4.8 i^− 6.4 j^ and B⃗ = - 3.6 i^+ 6.8 j^. A third vector C⃗ lies in the xy-plane. Vector C⃗ is perpendicular to vector A⃗ and the scalar product of C⃗ with B⃗ is 19.0.

Find the x -component of vector C⃗ .

Find the y-component of vector C⃗ .

2. Relevant equations
Dot Product
Cross Product

3. The attempt at a solution

No idea where to start on this one really. I've plotted the A and B vectors on a graph and thats about as far as I;ve got.

Cheers everyone.

2. Oct 29, 2014

### RUber

For A and C to be perpendicular, their dot product must equal zero. Try setting $C=x\hat i + y \hat j$ and satisfy the relations.
Otherwise, if you want to think in terms of lines, the perpendicular to a line with slope m has slope -1/m.