Use normal vectors to determine the intersection, if any, for each of the following groups of three planes. Give a geometric interpretation in each case and the number of solutions for the corresponding linear system of equations. If the planes intersect in a line, determine a vector equation of the line. If the planes intersect in a point, determine the coordinates of the point.

Question

2x − 5y + 3z = −10
3x + 6y + 3z = −6
3x − 4y + z = −1

Answer 1

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