I'm still learning how to work with vectors and ran to this question...
Given vector: $V = 3i + 4j$ and for vector $F = 9i + 12j$
a) Find the component of F parallel to V
b) the component of F perpendicular to V
c) The work, W, done by force F through displacement
For question a) i know that to vectors a parallel when $\lambda(V) = F$ but i'm not so sure how use it with equations i'm just used to working with the $(x,y,z)$ vectors
For question b) I think to be perpendicular the projection of v - projection f must be 0.
For question c) i got nothing