Suppose you are given a point B not on the line C: x(t) = A + tv. What is a procedure you could use to find the distance between the point B and the line C? Answer by dragging statements from the left column to the right column and putting them in the correct order in the right column. Note: your answer does not need to use all of the statements from the left column. Hint: draw a picture. Statements to choose from: Drag these statements to the right column. Find the vector p = proj, A.B. The desired distance is the length of q. The desired distance is the length of p. Construct the vector AB. The desired distance is the length of v. Find the vector p = proj ABV. Find the vector q = AB - p. Your solution: Put the statements in order in this column and press the Submit Answers button. reset Distance between a point and a plane Suppose you are given a point B not on the plane P: n. (x - A) = 0. What is a procedure you could use to find the distance from the point B to the plane P? Hint: draw a picture. Statements to choose from: Drag these statements to the right column. Find the vector q = AB - p. The desired distance is the length of p. Find the vector p = proj, AB. Construct the vector AB. The desired distance is the length of q. The desired distance is the length of w. Find the vector w = n xv. Your solution: Put the statements in order in this column and press the Submit Answers button. reset

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