Let A be the point with coordinates (2, 1, -2) and let B be the point with coordinates (1, 1, -2). Let v be the vector represented by the bound vector AB. Let II be a plane with the following properties: • II contains the point with coordinates (-1,-1,-3) • II is orthogonal to the vector v. What is the distance of the point with coordinates (2, 1, 0) from II? [Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.] Answer: 6 X The correct answer is: 3.00

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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Let A be the point with coordinates (2, 1, -2) and let B be the point with coordinates (1, 1, -2). Let v be the vector represented by the bound vector
AB. Let II be a plane with the following properties:
II contains the point with coordinates (-1,-1,-3)
• II is orthogonal to the vector v.
What is the distance of the point with coordinates (2, 1, 0) from II?
[Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer. So
for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.]
Answer: 6
X
The correct answer is: 3.00
Transcribed Image Text:→ Let A be the point with coordinates (2, 1, -2) and let B be the point with coordinates (1, 1, -2). Let v be the vector represented by the bound vector AB. Let II be a plane with the following properties: II contains the point with coordinates (-1,-1,-3) • II is orthogonal to the vector v. What is the distance of the point with coordinates (2, 1, 0) from II? [Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.] Answer: 6 X The correct answer is: 3.00
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