MATH106 Lecture 5: 1.3 - Planes and Hyperplanes
14 Oct 2018
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Document Summary
Let in nnn be a non zero vector in ir. Consider all vectors i that are orthogonal to rt. These vectors form a plane passing through the origin. The scalare quation of a plane through the origin that is orthogonal to ri nnn is in i. A non zero vector is called a normal vector of that is orthogonal to the plane e. g ri. Ee find the scalar equation of in 1123 that has in. 3. 1 as the plane a plane through the origin a normal vector. The plane contains all vectors to rt i e t k o. What if but not a point plpi. pepz necessarily through the origin as aira p. Suppose in my is a normal vector se i x ap ah. If then fx i f is in the plane this plane a line segment. So the equation of our plane is in i p hi xi pi t nz xz pa nz xs ps.
