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Given vectors : u = (5,2) ; v = (-2,5) w = (0,3) ; q = (10,4) 4.1 Calculate the following dot products: u.v ; (u.v).w ; u.(3w) , u.(w-v) 4.2 Calculate ‖?‖ ; d(u,v) ; ‖? − ?‖ 2 4.3 u and v are they orthogonal 4.4 u and w are they orthogonal 4.5 find c real number that satisfy q = c.u 4.6 Deduce that q and u are parallel 4.7 Normalize vector w

Given vectors : u = (5,2) ; v = (-2,5) w = (0,3) ; q = (10,4) 4.1 Calculate the following dot products: u.v ; (u.v).w ; u.(3w) , u.(w-v) 4.2 Calculate ‖?‖ ; d(u,v) ; ‖? − ?‖ 2 4.3 u and v are they orthogonal 4.4 u and w are they orthogonal 4.5 find c real number that satisfy q = c.u 4.6 Deduce that q and u are parallel 4.7 Normalize vector w

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Given vectors :
u = (5,2) ; v = (-2,5) w = (0,3) ; q = (10,4)
4.1 Calculate the following dot products:
u.v ; (u.v).w ; u.(3w) , u.(w-v)
4.2 Calculate
‖?‖ ; d(u,v) ; ‖? − ?‖
2
4.3 u and v are they orthogonal
4.4 u and w are they orthogonal
4.5 find c real number that satisfy q = c.u
4.6 Deduce that q and u are parallel
4.7 Normalize vector w

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