#294 Vectors and geometry of Space

Vectors and geometry of Space - Math

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Vectors and geometry of Space:
a) Find an equation of the plane that passes through the points A (2, 1, 1,),B (-1, -1, 10), C (1, 3, -4).
b) Find symmetric equations for the line through B that is perpendicular to the plane in part (a).
c) A second plane passes through (2, 0, 4) and has normal vector <2, -4, -3>. show that the acute angle between the planes is approximately 43 degrees.
d) find parametric equations for the line of intersection of the two planes.

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