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Lines and Planes, parametric form is a wriiten out form of x=p+su+tv where p is a position vector for a point on the line and u and v are vectors in the plane, normal form is represented mathematically as n∘x=n∘p m∘x=m∘q where n and m are vectors normal to the line, which is known to contain points p and q, vector form is represented mathematically as x=p+su+tv where p is a position vector for a point on the line and u and v are vectors in the plane, Planes are uniquely determined by 2. A point on the plane and a direction vector normal to the plane, vector form is also known as parametric form (just expand each of the components of the vector form), Lines are uniquely determined by 3. The intersection of two non-parallel planes, Lines are geometric objects Planes, Lines can be described by equations of various forms such as general form, Planes are uniquely determined by 3. Two vectors which are known to lie in the same plane, normal form is represented mathematically as n∘x=n∘p where n is a vector normal to the plane and p is a position vector for a point on the plane