notes001 (9)

# notes001 (9) - Lines and Planes Lines A line through the...

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ines and Planes Lines and Planes

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ines Lines e rough e oint arallel e A line through the point P 0 x 0 , y 0 , z 0 parallel to the vector v a , b , c can be described using either a vector equation , parametricequations ,or symmetric equations .
ector Equation Vector Equation

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xercise Exercise

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lanes Planes
quations of Planes Equations of Planes Let P x , y , z be an arbitrary point in the plane. Then the vector r r 0 P 0 P is orthogonal to n ,so n  r r 0 0 . his alled ector quation f e lane This is called a vector equation of the plane. It can be written as a , b , c    x x 0 , y y 0 , z z 0 0 r s or as a x x 0 b y y 0 c z z 0 0 . The latter equation is called a scalar equation for the plane. In general, any linear equation ax by cz d 0 describes a plane.

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n r r 0 0 OR a x x 0 b y y 0 c z z 0 0
xercise Exercise rite

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## This note was uploaded on 02/05/2012 for the course MATH 2203 taught by Professor Ellermeyer during the Fall '10 term at FIU.

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notes001 (9) - Lines and Planes Lines A line through the...

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