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MATLAB and projection and perpendicular formulas

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Hi,

Can you help me with the Question in the second page of this assignment?

a) Using the projection formula and the dot and norm commands in MATLAB, find proj(8,−3,1,2,1,2)(4, −5, 2, 6, 1, 3).
b) Using the perpendicular formula and commands in MATLAB, find perp(8,−3,1,2,1,2)(4, −5, 2, 6, 1, 3).

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Solution Summary

This provides an example of using projection formula, perpendicular formal, and dot and norm commands in MATLAB.

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The following formulae were used:
〖proj〗_b ⃗ (a ⃗ )= (a∙b ̂ ) b ̂
〖perp〗_b ⃗ (a ⃗ )= a ⃗-(a∙b ̂ ) b ̂
b ̂=unit vector in the direction of b ⃗
MATLAB CODE:
clear all; % clearr workspace
close all; % close all workspace windows (if there are figures opened)
clc; % clear the command window

% This code assumes proj_b(a) as being the projection of vector "a" in
% the ...

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