Question: 2. [10] Let be the line in 3 -space that passes through the point (1,1,1) and is parallel to the line from Problem 1 above.

2. [10] Let be the line in 3 -space that passes

2. [10] Let be the line in 3 -space that passes through the point (1,1,1) and is parallel to the line from Problem 1 above. (a) Find a set of parametric equations for the plane P in 3 -space that passes through the origin and contains the line . (b) Find a vector equation for the line of intersection of the plane P from part (a) and the plane P with scalar equation x1+x2+x3=0

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