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  3. #1 let h= span{v1,v2,v3,v4}. for each of the follo

#1 Let H= Span{v1,v2,v3,v4}. For each of the following sets of vectors determine whether H is...

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Advance Math

#1 Let H= Span{v1,v2,v3,v4}. For each of the following sets ofvectors determine whether H is a line, plane ,or R3. Justify youranswers.

(a)v1= (1,2,?2),v2= (7,?7,?7),v3= (16,?12,?16),v4= (0,?3,?3)

(b)v1= (2,2,2),v2= (6,6,5),v3= (?16,?16,?14),v4= (28,28,24)

(c)v1= (?1,3,?3),v2= (0,0,0),v3= (?2,6,?6),v4= (?3,9,?9)

#2 Plot the linesL1: x= t[4?1] and L2: x= [?4?2] + t[4?1] usingtheir vector forms. If[12k]is onL2. What is the value of k?

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