Question
Given the three lines with parametric equations L1:{x=1y=22az=a+3L2:{x=178by=62bz=93bL3:{x=1y=6c4z=3c where a,b,c are real numbers, and the plane with equation x+2y2z+7=0 (a) Prove that the three lines
Given the three lines with parametric equations
L1:{x=1y=22az=a+3L2:{x=178by=62bz=93bL3:{x=1y=6c4z=3c
where a,b,c are real numbers, and the plane with equation x+2y2z+7=0
(a) Prove that the three lines are concurrent, and find the coordinates of the intersection point, V
(b) Find the intersection points of the three lines with the plane, denoted A,B,C respectively for L1,L2,L3
(c) Find the volume of the tetrahedron VABC
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Concepts In Differential Geometry
Authors: K N P Singh
1st Edition
9353146399, 9789353146399
