Vectors help Watch

xAikx
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Hey guys,
I understand how to solve vector problems nearly like this but I've never really seen questions like this before. Could anyone explain the step by step process in terms of how to solve this?

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Thanks,
xAikx
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DrMikeHuntHertz
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https://www.khanacademy.org/math/lin...plane-equation
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xAikx
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But this question does not give me an equation of a plane, that's what I'm trying to find out?
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DrMikeHuntHertz
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(Original post by xAikx)
But this question does not give me an equation of a plane, that's what I'm trying to find out?
Oops

http://www.songho.ca/math/plane/plane.html
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begbie68
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(Original post by xAikx)
But this question does not give me an equation of a plane, that's what I'm trying to find out?
You should already realise/know that for each plane, there is a unique direction vector which is perpendicular to the plane.
So, this vector can be used to define the plane.

If ai + bj + ck is perpendicular to a plane, then a cartesian equation to the plane is given by ax + by + ck = p

This is what you should already know, as well as why p is important, and how to find the value of p for a particular, or given, plane.
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xAikx
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(Original post by begbie68)
You should already realise/know that for each plane, there is a unique direction vector which is perpendicular to the plane.
So, this vector can be used to define the plane.

If ai + bj + ck is perpendicular to a plane, then a cartesian equation to the plane is given by ax + by + ck = p

This is what you should already know, as well as why p is important, and how to find the value of p for a particular, or given, plane.
And to find p you just use the formula:

r - a = a.n = p ? With n being the vector of xi + yj + zj at point A?
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begbie68
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(Original post by xAikx)
And to find p you just use the formula:

r - a = a.n = p ? With n being the vector of xi + yj + zj at point A?
i think so.

or more simply, just sub an (x,y,z) coord of a point on the plane into the cartesian for the plane ?!
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