Linear algebra

I have 3  R4 vectors: v1 = (1,3,1,8), v2 = ( 2,1,-5,0) and V = (1,1,1,8)

A) Verify if V belongs to the "plane" generated by v1 and v2
b) calculate W, the projection of V over the plane
C) show that V-W is an ortogonal vector to v1 and v2 (it is perpendicular to the plane)

  • Ill accept the answer if you can do any 2 of the three


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  • If possible, choose a later deadline for your future questions. i had to rush to meet your deadline.

  • Unfortunately it is not possible to extend it, Ill accept the answer as-is if you took your best effort. thx

  • The solution is complete and correct.

The answer is accepted.