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You are given the following points: A = (-4, 20, 16), B = (20, 0, 7), C = (8, –15, – 19). %3D Which point is closest to the yz-plane? ? What is the distance from the yz-plane to this point? Which point is farthest from the xy-plane? ? What is the distance from the xy-plane to this point? Which point lies on the xz-plane? ? "

You are given the following points: A = (-4, 20, 16), B = (20, 0, 7), C = (8, –15, – 19). %3D Which point is closest to the yz-plane? ? What is the distance from the yz-plane to this point? Which point is farthest from the xy-plane? ? What is the distance from the xy-plane to this point? Which point lies on the xz-plane? ? "

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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) (a) Find a parametric equation for the line through the point (6, 2, 3) and in the direction of ai + bj+ ck. r(t) = (b) Find conditions on a, b, c so that the line you found in part (a) goes through the origin. (Be sure you can give a reason for your answer.) Then use your work to give two distinct triples a, b, c that result in the line passing through the origin. Choice 1: a = b = C = Choice 2: a = c =
Transcribed Image Text:) (a) Find a parametric equation for the line through the point (6, 2, 3) and in the direction of ai + bj+ ck. r(t) = (b) Find conditions on a, b, c so that the line you found in part (a) goes through the origin. (Be sure you can give a reason for your answer.) Then use your work to give two distinct triples a, b, c that result in the line passing through the origin. Choice 1: a = b = C = Choice 2: a = c =
You are given the following points: A = (-4, 20, 16), B = (20,0, 7), C = (8, -15, – 19). Which point is closest to the yz-plane? ? What is the distance from the yz-plane to this point? Which point is farthest from the xy-plane? ? " What is the distance from the xy-plane to this point? Which point lies on the xz-plane? ? "
Transcribed Image Text:You are given the following points: A = (-4, 20, 16), B = (20,0, 7), C = (8, -15, – 19). Which point is closest to the yz-plane? ? What is the distance from the yz-plane to this point? Which point is farthest from the xy-plane? ? " What is the distance from the xy-plane to this point? Which point lies on the xz-plane? ? "
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