Distance between a point and a line

Suppose you are given a point [math] not on the line [math]. What is a procedure you could use to find the distance between the point [math] and the line [math]? 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.
  1. Find the vector [math].
  2. Find the vector [math].
  3. Construct the vector [math].
  4. The desired distance is the length of [math].
  5. The desired distance is the length of [math].
  6. The desired distance is the length of [math].
  7. Find the vector [math].
Your solution: Put the statements in order in this column and press the Submit Answers button.

Distance between a point and a plane

Suppose you are given a point [math] not on the plane [math]. What is a procedure you could use to find the distance from the point [math] to the plane [math]? Hint: draw a picture.
Statements to choose from: Drag these statements to the right column.
  1. Find the vector [math].
  2. The desired distance is the length of [math].
  3. Find the vector [math].
  4. Find the vector [math].
  5. The desired distance is the length of [math].
  6. The desired distance is the length of [math].
  7. Construct the vector [math].
Your solution: Put the statements in order in this column and press the Submit Answers button.