burhan101
A plane is defined by the equation: x=4y+2z=16.
Find two vectors parallel to the plane.



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SerikMB
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do you know the rule of parallelism?

burhan101
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nope

SerikMB
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Two vectors and are parallel if their cross product is zero, i.e., .u*v=0

burhan101
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Okay do what do i do :S @SerikMB

SerikMB
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do you have exact answers?

SerikMB
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one of them may probable be y=1/2x+2z

burhan101
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Like what do i do to come up with that answer ?

SerikMB
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when two equations are parallel they have the same slopes

SerikMB
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as it says parallel the equation is linear so it's form is y=kx+b , but here instead of k it will be the slope

SerikMB
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then as vectors usually start at (0,0) point

SerikMB
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you can substitue it into the formula \[Y_{1}Y _{2}=m(X _{1}X _{2})\]

SerikMB
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where m is the slope

burhan101
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given this equation: x=4y+2z=16.

SerikMB
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yea it's just 3 dimensional

burhan101
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im still not understanding this