3. Find a vector equation of the line that...a) passes through (-3,5,-2) and (7,-3,1)_y+2_-2+0z+6x-5 y+24c) is parallel to-25and passes through (0,6,0)e) is perpendicular to the plane 4x - 5y + 3z-10 = 0and contains the point (-1,0,5)b) has x-intercept of -4 and z-intercept of 7d) is parallel to the y-axis, and passes through(6,-4,5)

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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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Similar questions

16. Determine the vector equation of each line. a) parallel to the y-axis and through Po(-4, 11) b) perpendicular to 5x - 2y = 3 and through Po(7, 1) c) parallel to x + 6y = 1 and through Po(2,-5) d) parallel to the z-axis and through Po(-4, 3, 7) e) parallel to [x, y, z]= [1, 3, -2] + [5, 2, 1] f) the x-intercept of the line is 3 and the y-intercept is -2
Give the vector equation of the plane passing through P, Q, and R. P = (8, 8, 8), Q = (4, 0, 2), R = (0, 1, -1) 8 0-0-0- y = + S 8 Z -4 -6 + t
Write the vector equation of the line through (9,-1) and perpendicular to (x,y) = (1,-2) + t(6,-7)
Find a vector equation of the line r through D4 and perpendicular to the line s through F4 and B1. B1: (1,0,0)D4: (1,2,3)F4: (-2,1,3)
A direction vector for a line is any vector that joins two points on that line. Find a 8. It is not certain that you and your classmates will get direction vector for 2x + 5y exactly the same answer. How should your answers be related, however?
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 -
A line contains the points P=(−6,−2,−3)P=(-6,-2,-3) and Q=(−4,−3,−6)Q=(-4,-3,-6). A vector equation of this line is →x=−−→OP+t−−→PQx→=OP→+tPQ→, where OO is the origin.If t=2t=2, what point does this give us from the equation?

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3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1)