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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?

Algebra and Trigonometry (6th Edition)
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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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?
Transcribed Image Text: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?
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Step 1

Given triangle has vertices:

A(2,1,-1) ,B(4,2,0) and C(3,-1,x).

 

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