Vectors  Lines and Planes
Note: i j k are ihat, jhat, khat
Find the symmetric equations and the parametric equations of a line, and/or the equation of a plane satisfying the following given conditions
1. Line through (5, 4, 2) and parallel to the line r = i ? j + (5i ? 2j + k)t
2. Plane through the point and perpendicular to the line in Problem 1.
3. Plane containing the two parallel lines in Problem 1.
Find the symmetric equations and the parametric equations of a line, and/or the equation of a plane satisfying the following given conditions
1. Line through (5, 4, 2) and parallel to the line r = i ? j + (5i ? 2j + k)t
2. Plane through the point and perpendicular to the line in Problem 1.
3. Plane containing the two parallel lines in Problem 1.

I would really appreciate it if you could add the steps and the details
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