Given the four points A(0, 1, 2), B(1,2, –1), C(2, 1, 1) and D(1, (a) find the cosine of the angle between AB and AC; (b) find Proj AC and Perp- AC; AB (c) find the distance from point C to the line through points A and B; (d) find the point on the line through A and B closest to point C; (e) calculate the area of the triangle with A, B and C as vertices; (f) find the volume of the parallelepiped with edges AB, AC and AD;
Given the four points A(0, 1, 2), B(1,2, –1), C(2, 1, 1) and D(1, (a) find the cosine of the angle between AB and AC; (b) find Proj AC and Perp- AC; AB (c) find the distance from point C to the line through points A and B; (d) find the point on the line through A and B closest to point C; (e) calculate the area of the triangle with A, B and C as vertices; (f) find the volume of the parallelepiped with edges AB, AC and AD;
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 7AEXP
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