Explanation Given information : The equation of the plane to be sketched is 4 ( x − 5 ) + 3 ( y − 4 ) + 2 ( z − 7 ) =0 . Formula used : The equation of plane that makes intercept a , b , and c on X-axis, Y-axis, and Z-axis respectively is given by x a + y b + z c =1 . That means the planes passes through points ( a , 0 , 0 ) ( 0 , b , 0 ) , and ( 0 , 0 , c ) . Calculations: The given plane is 4 ( x − 5 ) + 3 ( y − 4 ) + 2 ( z − 7 ) =0 ...(1) The given plane passes through point ( 5 , 4 , 7 ) and the direction ratios of the normal to the plane are 4, 3, and 2

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

6th Edition

ISBN: 9781524908102

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 9.6, Problem 7PS

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Tograph:The given plane.

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(part 1 of 4) Determine the distance of the point Q(3, 4, -2) from the y-axis. 1. distance 2√5 2. distance = √29 3. distance 3 4. distance = 2 5. distance 6. distance 7. distance = is a line. - 1. 2. 3. 4. = - = 4 5 (part 2 of 4) Which of the following statements are true: A. in 3-space the intersection of the graphs of 13 X = 2 is a line, B. in 2-space the intersection of the graphs of S = X = y = B only both of them neither of them A only 3, 29 3, 1,

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Chapter 9 Solutions

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

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Tograph: The given plane.

Solution Summary: The author explains the equation of the plane that makes intercept a, b, and c on X-axis. The equation can be written as 4x+3y+2z

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