If the point (2, , ) lies on the plane which passes through the points (3, 4, 2) and (7, 0, 6) and is perpendicular to the plane 2x − 5y = 15, then 2 − 3 is equal to

a. |
5 |
b. |
17 |

c. |
12 |
d. |
7 |

If the point (2, , ) lies on the plane which passes through the points (3, 4, 2) and (7, 0, 6) and is perpendicular to the plane 2x − 5y = 15, then 2 − 3 is equal to

a. |
5 |
b. |
17 |

c. |
12 |
d. |
7 |

1 Answer

127 votes

Normal vector of plane

= = −4(5+2-3)

Equation of plane is 5(x−7)+ 2y−3(z− 6) = 0

5x + 2y − 3z = 17

127 votes

127