You are given vectors A= 4.7i - 7.0j and B= - 3.2i+ 6.9j . A third vector C lies in the xy-plane. Vector C is perpendicular to vector A and the scalar product of vector C with vector B is 16.0. What is the x-component of vector C? What is the y-component of vector C? I'm not sure wither to use a dot product to solve this or use the cross product. I haven't yet learned how to use the cross product of two vectors so I don't think its that. How would i go about solving this problem? I thought about setting vector B equal to 16 but that didn't work out to well. Can someone please help me? Thank you!
Well you know that the dot product of a and c has to equal zero and the dot product of a and b has to equal 16. So set up your equations and solve for x and y.