Please explain and show your work. Use the right symbols and calculations. Thank you! :) a) With ā = [-4,-1], b = [3, -5] and c = [-2,6]. Determines: (C - 2b) • (a + 3c) b) Determines an orthogonal vector at a - [4,-1,0] and b = [2, 5, -3].   c) Shows that the vectors a = [1,-5,2], b =[1,7,-2] and c = [8,5,1] are coplanar (or linearly Dependents).

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Please explain and show your work. Use the right symbols and calculations. Thank you! :)


a) With ā = [-4,-1], b = [3, -5] and c = [-2,6]. Determines:

(C - 2b) • (a + 3c)


b) Determines an orthogonal vector at a - [4,-1,0] and b = [2, 5, -3].

 

c) Shows that the vectors a = [1,-5,2], b =[1,7,-2] and c = [8,5,1] are coplanar (or linearly Dependents).

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