Consider the two vectors A=ai and B=3i+4j. What must be the value of a if the component of A along B is 6?
The Attempt at a Solution
I've arrived at the correct answer by finding the angle between the x component of B (3) and B itself which comes out to 53.13 degrees. Then 6/cos53.13 = 10 which is the correct result. However, I still don't understand what it means for something to be the component of A along B. I was hoping someone here could shed some light on what this means and how to visualize it.