Vectors, Distance Between Plane and Point

**i) Find the distance from the origin to the plane 3x + 2y - z - 14 = 0. **

distance from point and plane = | [(0,7,0) • (3,2,-1)] / [√14] |

distance from the point and plane = |14 / √14 |

distance from the point and plane = 3.74 units

**ii) Find the distance from the point P(10,10,10) to the plane 3x + 2y - z - 14 = 0.**

distance from the point and plane = | [(-10,-3,-10) • (3,2,-1)] / [√14] |

distance from the point and plane = |-26 / √14 |

distance from the point and plane = 6.95 units

**Textbook Answer:** √14 or 3.74 units

**iii) Is P on the same side of the plane as the origin? Explain.**

**Please help me wih questions ii and iii.**