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1. (a) Find uxv and show that it is orthogonal to both u and v u = <2, -3, 1> v = <1, -2, 1> (b)The vertices of a triangle are given. Determine whether the triangle is an acute triangle, an obtuse triangle or a right triangle. Explain your reasoning. (1,2,0),(0,0,0).(-2,1,0)

1. (a) Find uxv and show that it is orthogonal to both u and v u = <2, -3, 1> v = <1, -2, 1> (b)The vertices of a triangle are given. Determine whether the triangle is an acute triangle, an obtuse triangle or a right triangle. Explain your reasoning. (1,2,0),(0,0,0).(-2,1,0)

Elementary Geometry For College Students, 7e
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
Section10.4: Analytic Proofs
Problem 34E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...
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1. (a) Find uxv and show that it is orthogonal to both u and v u = <2, -3, 1> v = <1, -2, 1> (b)The vertices of a triangle are given. Determine whether the triangle is an acute triangle, an obtuse triangle or a right triangle. Explain your reasoning. (1,2,0).(0,0,0).(-2,1,0)
Transcribed Image Text:1. (a) Find uxv and show that it is orthogonal to both u and v u = <2, -3, 1> v = <1, -2, 1> (b)The vertices of a triangle are given. Determine whether the triangle is an acute triangle, an obtuse triangle or a right triangle. Explain your reasoning. (1,2,0).(0,0,0).(-2,1,0)
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