Engineering Calculus Notes 124

Engineering Calculus Notes 124 - P 1 : x = 1 +2 s +3 t y =...

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112 CHAPTER 1. COORDINATES AND VECTORS (d) P is the locus of 2 x 3 y + 4 z = 3 . 3. (a) Find a line in the plane 3 x + 7 y + z = 29 which is perpendicular to the line x = 1 2 t y = 3 + t z = 5 t. (b) Find the line in the plane x + y + z = 0 which meets the line given by x = 5 +3 t y = 4 2 t z = 1 t at the point ( 2 , 2 , 0) and is perpendicular to . 4. Parametrize the line described in each case below: (a) is the intersection of the planes P 1 : 5 x 2 y + 3 z = 0 P 2 : 2 x + 2 y + z = 3 . (b) is the intersection of the planes parametrized as follows:
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Unformatted text preview: P 1 : x = 1 +2 s +3 t y = 2 − s + t z = 3 + s − 2 t P 2 : x = 1 + s − t y = 2 +2 s +3 t z = 3 − 3 s − t 5. Find the volume of each parallelepiped described below: (a) The origin is a vertex, and the three vertices joined to the origin by an edge are P (1 , − 3 , 2) Q (2 , 3 , − 1) R (3 , 2 , 1) ....
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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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