Let A be the point with coordinates (5, 2, 0) and let B be the point with coordinates (4, 2, 0). 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 (2,0,-1) • II is orthogonal to the vector v. What is the distance of the point with coordinates (-2, -2, 0) from II?

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
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Please enter the answer numerically in decimal format. the Answer is correct 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 correct.

Let A be the point with coordinates (5, 2, 0) and let B be the point with coordinates (4, 2, 0). 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 (2,0,-1)
• II is orthogonal to the vector v.
What is the distance of the point with coordinates (-2, -2, 0) from II?
Transcribed Image Text:Let A be the point with coordinates (5, 2, 0) and let B be the point with coordinates (4, 2, 0). 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 (2,0,-1) • II is orthogonal to the vector v. What is the distance of the point with coordinates (-2, -2, 0) from II?
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