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Finding a unit vector and perpendicular to the plane

Question:

Vectors

1. Two vectors are parallel provided that one is a scalar multiple of the other. Determine whether the vectors a and b are parallel, perpendicular, or neither.

a = 12i - 20j + 17k and b = -9i + 15j + 24k

2. Find a unit vector n perpendicular to the plane through the points P(1, 3, -2), Q(2, 4, 5), and R(-3, -2, 2). Then find the distance from the origin to this plane by computing n ? OP^→.

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Mathematics: Finding a unit vector and perpendicular to the plane

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Mathematics: Finding a unit vector and perpendicular to the plane

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