Consider the points P(1, -3, 4) and Q(0,2,5) and the plane 7 with equation 2x + y — 3x+1 = 0. (a) Find the vector of length 3 in the direction opposite to the one of PQ. (b) Find an equation of the plane that passes through the point P and is parallel to the plane π. (c) Find parametric equations of the line that passes through perpendicular to the plane T.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Consider the points P(1, -3, 4) and Q(0,2,5) and the plane 7 with equation 2x + y —
3x+1 = 0.
(a) Find the vector of length 3 in the direction opposite to the one of PQ.
(b) Find an equation of the plane that passes through the point P and is parallel to the
plane π.
(c) Find parametric equations of the line that passes through
perpendicular to the plane T.
Transcribed Image Text:Consider the points P(1, -3, 4) and Q(0,2,5) and the plane 7 with equation 2x + y — 3x+1 = 0. (a) Find the vector of length 3 in the direction opposite to the one of PQ. (b) Find an equation of the plane that passes through the point P and is parallel to the plane π. (c) Find parametric equations of the line that passes through perpendicular to the plane T.
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