Consider the following cube, whose edges have length 1: R a. What is the component of RP in the direction of PQ? First obtain an answer using geometric reasoning, then confirm using the dot product. b. What is the component of PQ in the direction of PR? c. Write PQ as the sum of two vectors, one parallel to PR and the other perpendicular to PR. d. Which point on the line segment PR is closest to Q? Hint: The closest point can be obtained by "dropping a perpendicular" from Q to PR.