In: Math
Problem 1
Part A: Write down an equation of the line L that is passing through the point A(5,4) and is perpendicular to the vector n=<-3,4>.
Part B: Find the unit vector u in the direction of n.
Part C: Find the distance d(Q,L) from the point Q(7, 13) to line L.
Part D: Find the coordinates of the point R on L that is closest to the point Q.
Part E: Now find R by solving the distance minimization problem using single-variable calculus. Which approach do you prefer?