A triangle has vertices : A(2, 1, − 1), B(4, 2, 0), and C(3, — 1, x). - - i. For what real values of x is the triangle a right triangle? ii. iii. Find a vector that is normal to the plane formed by this triangle if x = 3. What is the projection of any of the sides of the triangle onto this normal vector?
A triangle has vertices : A(2, 1, − 1), B(4, 2, 0), and C(3, — 1, x). - - i. For what real values of x is the triangle a right triangle? ii. iii. Find a vector that is normal to the plane formed by this triangle if x = 3. What is the projection of any of the sides of the triangle onto this normal vector?
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 20CM
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