Consider the lines : = 2z - 6 and m : x = −1+10t, y = 7t, z = 2+t. 5 7 1. Determine if & and m are intersecting, parallel. or skew. 2. Find an equation of the plane containing both lines and m. 3. Find a vector perpendicular to both & and a normal vector of . Using dot product, show that this vector is perpendicular to any normal vector of .

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