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The numbers in brackets are supposed to be in subscript so V(2) would be V subscript 2 and the number in front is just multiply, all the variables are vectors so they have a arrow on top.

Determine if,

W(1) = 2V(1) + 3V(2) , W(2) = V(2) + 2V(3) and W(3) = -V(1) - 3V(3) are coplanar

i dont understand how to do this. i tried to use the property that if they are coplanar therefore they also must be colinear therefore [Note: C is the only variable that is not a vector it is a unknown integer.]

C(1)W(1) + C(2)W(2)....etc = 0 but i cant think of how that would resolve am i on the right track?

Determine if,

W(1) = 2V(1) + 3V(2) , W(2) = V(2) + 2V(3) and W(3) = -V(1) - 3V(3) are coplanar

i dont understand how to do this. i tried to use the property that if they are coplanar therefore they also must be colinear therefore [Note: C is the only variable that is not a vector it is a unknown integer.]

C(1)W(1) + C(2)W(2)....etc = 0 but i cant think of how that would resolve am i on the right track?

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