Problem 1 Part A: Write down an equation of the line L that is passing through the...

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Basic Math

Problem 1

Part A: Write down an equation of the line L that is passingthrough the point A(5,4) and is perpendicular to the vectorn=<-3,4>.

Part B: Find the unit vector u in the directionof n.

Part C: Find the distance d(Q,L) from the point Q(7, 13) to lineL.

Part D: Find the coordinates of the point R on L that is closestto the point Q.

Part E: Now find R by solving the distance minimization problemusing single-variable calculus. Which approach do you prefer?

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