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eh... if anyone is interested in the solution, here it is:
It's really simple actually... Because it is a CIRCLE, 2-dimensional shape, the scalar triple products are all equal to zero...
Three vectors in a 2D plane are always linearly dependent.
Yes I know how to prove it algebraically... just not with the diagram.
I'm going to check out your links, thanks ganesh.
See the image, show using the diagram...
I have no idea how to apply the diagram.
Hey guys, apparently it's incorrect to put the absolute value signs, can anybody confirm this? Or support it? I know it works out mathematically but I was told it's still wrong.
How can I prove the associative law (multiplication) using vectors:
m(na) = (mn)a where m and n are real numbers, and a is a vector?
There are three cases to prove:
m>0, n>0
m<0, n<0
m>0, n<0 and m<0, n>0
I have no idea where to start.
yeah it all makes sense, thanks guys
1) 16 - 36 = 25 - 45
2) 16 - 36 + 81/4 = 25 - 45 + 81/4
3) 4^2 - 2x4x9/2 + (9/2)^2 = 5^2 - 2x5x9/2 + (9/2)^2
4) (4 - 9/2)^2 = (5 - 9/2)^2
5) 4 - 9/2 = 5 - 9/2
6) 4 = 5
What went wrong?
I'm pretty sure the error is from step 3 to 4 but I don't know what the heck they are trying to do.
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