Exercise 5 Consider the following triangle. V- proju(v) 1. Prove that the area of this triangle is |u|||v| sin(0) 2. Compute the area of the triangle with the given vertices : A=(1,-1), B=(2,2) and C=(4,0). Indication for question 1: Find the base and the altitude, then use the fact that |v – proju(v)|| = ||sin(0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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Exercise 5
Consider the following triangle.
proj (v)
1. Prove that the area of this triangle is ||u|||v|| sin(0)
2. Compute the area of the triangle with the given vertices : A=(1,-1),
B=(2,2) and C=(4,0).
Indication for question 1: Find the base and the altitude, then use the fact that
|v – proj„(v)|| = ||v||sin(0).
Transcribed Image Text:Exercise 5 Consider the following triangle. proj (v) 1. Prove that the area of this triangle is ||u|||v|| sin(0) 2. Compute the area of the triangle with the given vertices : A=(1,-1), B=(2,2) and C=(4,0). Indication for question 1: Find the base and the altitude, then use the fact that |v – proj„(v)|| = ||v||sin(0).
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