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- Thread starter Yuuki
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- Jan 26, 2012

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Q1: Well, what is the normal form for a plane? What does each symbol represent? How could you find an applicable value for each of those symbols from the given data?

Q2: Can you write down an equation that says "vector $\vec{x}$ is orthogonal to vector $\vec{y}$"?

- Jan 29, 2012

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You#q1

how do i find the normal form of a plane given a point thru the plane and a vector parallel to it?

Well, since a vector is "movable" this is the same a vector lying in the plane.first of all i don't understand what a vector parallel to a plane is :/

There are an infinite number of vectors orthogonal to a given vector. One way find one of them is to find the equation of the plane containing (0, 0, 0) perpendicular to the given vector. Choose#q2

how do i find a unit vector that's orthogonal to a certain vector?

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- Jan 26, 2012

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Right, I thought of that. But it may be that the OP is actually given a vector that defines a line (there's another point on the line). A line and a point not on the line will uniquely determine a plane, at least in Euclidean geometry.Youcan't. A vector parallel to a plane defines a line (through the given point) in the plane. But there are an infinite number of planes containing a given line.