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Given vectors u=(u_1,u_2) and v=(v_1,v_2) from R^2 prove whether or not the function f(u,v) = 5*(u_1)(V_1)-2*(u_2)(v_2) %3D is an inner product of R^2

Given vectors u=(u_1,u_2) and v=(v_1,v_2) from R^2 prove whether or not the function f(u,v) = 5*(u_1)(V_1)-2*(u_2)(v_2) %3D is an inner product of R^2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given vectors u=(u_1,u_2) and v=(v_1,V_2) from R^2 prove whether or not the function f(u,v) = 5*(u_1)(v_1)-2*(u_2)(v_2) is an inner product of R^2.
Transcribed Image Text:Given vectors u=(u_1,u_2) and v=(v_1,V_2) from R^2 prove whether or not the function f(u,v) = 5*(u_1)(v_1)-2*(u_2)(v_2) is an inner product of R^2.
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