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Let the line L be defined by x=t+1 y = 2t+1 z=3t+1 (a) Write a formula for the distance between the point (1,1,0) and an arbitrary point on the line L. (b) Farmer Bob was walking near a golf course when a golf ball comes whizzing by. Suppose the golf ball is following the line L (with units measured in inches) and t is measuring how many minutes since the golfer swung at the ball. Find out how close the ball came to hitting Farmer Bob, and at what time t that happened.

Let the line L be defined by x=t+1 y = 2t+1 z=3t+1 (a) Write a formula for the distance between the point (1,1,0) and an arbitrary point on the line L. (b) Farmer Bob was walking near a golf course when a golf ball comes whizzing by. Suppose the golf ball is following the line L (with units measured in inches) and t is measuring how many minutes since the golfer swung at the ball. Find out how close the ball came to hitting Farmer Bob, and at what time t that happened.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1. Let the line L be defined by x=t+1 y = 2t +12=3t+1 (a) Write a formula for the distance between the point (1,1,0) and an arbitrary point on the line L. (b) Farmer Bob was walking near a golf course when a golf ball comes whizzing by. Suppose the golf ball is following the line L (with units measured in inches) and t is measuring how many minutes since the golfer swung at the ball. Find out how close the ball came to hitting Farmer Bob, and at what time t that happened. 2. Let the surface S be defined by x² + y² +2²+2x2 = 1 (a) Plug in the values z = 0, z = 1. What is the graph of the resulting equation? (b) Plug in the values y = 0, y = 1. What is the graph of the resulting equation? (c) Plug in the values z = 0, z = 1. What is the graph of the resulting equation? (d) Describe what the surface looks like. Attempt to draw it (preferably using your answers from a,b and c).
Transcribed Image Text:1. Let the line L be defined by x=t+1 y = 2t +12=3t+1 (a) Write a formula for the distance between the point (1,1,0) and an arbitrary point on the line L. (b) Farmer Bob was walking near a golf course when a golf ball comes whizzing by. Suppose the golf ball is following the line L (with units measured in inches) and t is measuring how many minutes since the golfer swung at the ball. Find out how close the ball came to hitting Farmer Bob, and at what time t that happened. 2. Let the surface S be defined by x² + y² +2²+2x2 = 1 (a) Plug in the values z = 0, z = 1. What is the graph of the resulting equation? (b) Plug in the values y = 0, y = 1. What is the graph of the resulting equation? (c) Plug in the values z = 0, z = 1. What is the graph of the resulting equation? (d) Describe what the surface looks like. Attempt to draw it (preferably using your answers from a,b and c).
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