Verify that the two planes are parallel.-x + 6y + 2z = 61- -x + 3y + z = 7Find the normal vector, n,, to -x + 6y + 2z = 6.n, =1Find the normal vector, n,, to+ 3y + z = 7.2-n, =Because n,|n, the planes are parallel.Find the distance between the planes.

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Answered: -x + 6y + 2z = 6 1. -x + 3y + z = 7 2…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Let v = PQ, where P = (3, 5) and Q = (8,8). What is the head of the vector v' equivalent to v based at (5,2)? What is the head of the vector vo equivalent to v based at the origin? (Give your answer in the form (*,*). Express numbers in exact form. Use symbolic notation and fractions where needed.) coordinates of the head of v' : coordinates of the head of vo :
Jone Algebra Homework 3 1 of 3 (-2,5) (0,3) 1. Plot each of the following points in the xy-plane. (3,4) (-4,-1) (1,-3) (0,,-4) (5,0) (4,0) 2. For the following points, find their midpoint and distance between the points. (a) (3,5) (-2,-7) (b) (-4,7) (4,-8) (c) (6,4) (2,10) (d) (5,-1) (-1,9) 3. Graph each of the following equations by plotting points. (a) y = x² - 2x + 1 (b) x = y³-1 (d) y = = x + ²/2 (c) x - 2y = 5 4. For each of the following equations, find the x and y-intercepts on its graph. (a) 2x - 5y = 20 (b) y=x²-16 (c) x+y³ = 8 (d) x² + (y-2)² = 16
Which equations below represent the line in R³ that passes through the point (-3,5,-5) and is parallel to the vector 3i + 4j + 6k? You may select more than one equation. Or(t): +t OF(t) = + t Ox=3+3t; y = 5 + 4t; z = = 5 + 6t - OF(t): = -3, 5, -5> +t OF(t) = +t 1 - x=3+ 6t; y = 5 + 8t; z = 5+ 6t OF(t)= +t OF(t)= + t -
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-x + 6y + 2z = 6 1. -x + 3y + z = 7 2 Find the normal vector, n,, to -x + 6y + 2z = 6. n = 1 Find the normal vector, n,, to -x+ 3y + z = 7. 2 Because n, n, the planes are parallel. Find the distance between the planes. 2.