Question

2. Consider the plane with a normal vector 〈−9, 18, 18〉 which contains the point (0, 1, −5), and the plane containing the lines l1 and l2 where l1 is parametrically defined by x = 4 − 2m, y = m + 1, and z = 1 − 2m, and l2 is parametrically defined by x = 4 + 4n, y = 2 + n, and z = n − 1. Determine whether the planes are parallel, orthogonal, or neither.

Answer 1

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Solution:-

​​​​​​So, normal vectors to both planes are parallel to each other and hence given planes are parallel.

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