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Old 04-14-2008   #1
Tess213
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Question Homework help

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

Please help
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Old 05-17-2008   #2
MyriamK
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Default Probably too late to help, but ...

Without any recent related training, I see the problem one you can visualize in 3D.
Vectors V(1) and V(2) may define a plane, and any linear combination of the two, like W(1) is in that plane, so W(1), V(1) and V(2) are coplanar.
By the same reasoning
W(2) is coplanar with V(2) and V(3), and
W(3) is coplanar with V(1) and V(3).

The problem is, there is not enough information.
if V(3) is in the same plane as V(1) and V(2), all the vectors involved are coplanar;
if V(3) is not the same plane as V(1) and V(2), then W(1), W(2), and W(3) are not coplanar.
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Old 10-28-2008   #3
moneisha
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Smile hey

Quote:
Originally Posted by Tess213 View Post
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

Please help
hey can u help me on math i am trying to get out of here
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