# Vectors - Lines and Planes

*Note: i j k are i-hat, j-hat, k-hat*

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.

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