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Oct 14th 2010, 02:48 PM
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expc1337
Junior Member
Join Date: Oct 2010
Posts: 2
How should I prove this?
How can I prove this?
The following are all vectors:
a, b, c, d
k = (a+b) (c+d)
prove: k = (a x c) + (a x d) + (b x c) + (b x d)
Any help would be appreciated. Thanks!
Oct 14th 2010, 03:55 PM
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2
zzzoak
Senior Member
Join Date: Mar 2010
Location: Lithuania
Posts: 105
Please read vectors dot product help
Dot product  Wikipedia, the free encyclopedia
Oct 14th 2010, 04:38 PM
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3
expc1337
Junior Member
Join Date: Oct 2010
Posts: 2
So then would I start off by doing:
a = a = sqrt(a_x^2 + a_y^2)?
I am still pretty lost
Oct 15th 2010, 02:20 PM
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4
zzzoak
Senior Member
Join Date: Mar 2010
Location: Lithuania
Posts: 105
Using properties of dot product
(a+b) (c+d)=a(c+d)+b(c+d)=ac+ad+bc+bd
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