Engineering Calculus Notes 79

Engineering Calculus Notes 79 - 67 1.5. PLANES be two...

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1.5. PLANES 67 be two vectors representing the sides of the triangle at this vertex. Then the parametrization −→ p ( s,t ) = −→ p 0 + s −→ v + t −→ w = −−→ O P + s −−→ PQ + t −→ PR describes the plane containing our triangle; the vertices have position vectors −−→ O P = −→ p 0 = −→ p (0 , 0) −−→ O Q = −→ p 0 + −→ v = −→ p (1 , 0) −−→ O R = −→ p 0 −→ w = −→ p (0 , 1) . For example, the three points one unit out along the three (positive) coordinate axes P (1 , 0 , 0) ( −−→ O P = −→ ı ) Q (0 , 1 , 0) ( −−→ O Q = −→ ) R (0 , 0 , 1) ( −−→ O R = −→ k ) determine the plane with parametrization −→ p (
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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