a) The plane A contains the points P(-5,5,6), Q(3,5,4) and R(-1,-3,5). Find the normal form of the equation which describes it. b) Find the unit vector in the direction of the vector which is normal to the plane A

a) The plane A contains the points P(-5,5,6), Q(3,5,4) and R(-1,-3,5). Find the normal form of the equation which describes it. b) Find the unit vector in the direction of the vector which is normal to the plane A

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 9E

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Question

Question 4

a) The plane A contains the points P(-5,5,6), Q(3,5,4) and R(-1,-3,5). Find the normal form of the equation which describes it.

b) Find the unit vector in the direction of the vector which is normal to the plane A.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

Expert Solution