Question

if u=(1,2,2) and v=(-6,2,3) find the component of u in the direction of v and the component of v in the direction of u​

Answer 1

The distance we travel in the direction of v, while traversing u is called the component of u with respect to v and is denoted compvu. The vector parallel to v, with magnitude compvu, in the direction of v is called the projection of u onto v and is denoted projvu.