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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.2: The Rectangular Coordinate System And Graphing Lines
Problem 103E
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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
Transcribed Image Text: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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