Consider the points below.P(3, 0, 3), Q(-2, 1, 4), R(6, 2, 5)(a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R.(b) Find an equation of the plane through the points P, Q, and R.(c) Find the area of the triangle PQR.

We need to solve plane problem.

Answered: Consider the points below. P(3, 0, 3),…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.CT: Chapter Test

Problem 10CT

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Similar questions

aWhat is a vector in the plane? How do we represent a vector in the coordinate plane? bFind the vector with initial point (2,3) and terminal point (4,10). cLet v=2,1. If the initial point v is placed at P(1,1), where is its terminal point? Sketch several representations of v. dHow is the magnitude of v=a1,a2 defined? Find the magnitude of w=3,4. eWhat are the vectors i and j? Express the vector v=5,9 in terms of i and j. fLet v=a1,a2 be a vector in the coordinate plane. What is meant by the direction of v? What are the coordinates of v in terms of its length and direction? Sketch a figure to illustrate your answer. gSuppose that v has length |v|=5 and direction =/6. Express v in terms of its coordinates.

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Consider the points below. P(3, 0, 3), Q(-2, 1, 4), R(6, 2, 5) (a) Find a nonzero vector orthogonal to the plane through the points P, Q, and R. (b) Find an equation of the plane through the points P, Q, and R. (c) Find the area of the triangle PQR.