Consider the three points A(-1,2,0), B(-4, 5,0) and C(-2,6, –4). You are given that, -3 AB = and AC = 4 -4 Calculate the quantities below and enter them in the boxes provided using Maple notation. Remember to give exact answers using Maple notation. For () example, for 2/47 enter 2*sqrt(47) and for the vector enter <1,2,3>. 3 The projection of AB onto AC is the vector proj→AB = AC The length of the altitude through B in the triangle ABC is

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 2AEXP
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Consider the three points A(-1,2,0), B(-4,5,0) and C(-2,6, –4). You are given that,
-3
-1
АВ —
3.
and AC
4
4
Calculate the quantities below and enter them in the boxes provided using Maple notation. Remember to give exact answers using Maple notation. For
example, for 2/47 enter 2*sqrt (47) and for the vector
2
enter <1,2,3>.
3
The projection of AB onto AC is the vector proj→AB
АС
The length of the altitude through B in the triangle ABC is
Transcribed Image Text:Consider the three points A(-1,2,0), B(-4,5,0) and C(-2,6, –4). You are given that, -3 -1 АВ — 3. and AC 4 4 Calculate the quantities below and enter them in the boxes provided using Maple notation. Remember to give exact answers using Maple notation. For example, for 2/47 enter 2*sqrt (47) and for the vector 2 enter <1,2,3>. 3 The projection of AB onto AC is the vector proj→AB АС The length of the altitude through B in the triangle ABC is
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