Home › AP EAPCET (Engineering) › Mathematics › Coordinate Geometry: Plane › How far is the plane 6x + 3y + 2z = 14 from the …
How far is the plane 6x + 3y + 2z = 14 from the origin?
A1 unit
B14 units
C7 units
D2 units
Answer & Solution
Correct answer: D. 2 units
The normal vector has length 7 since 36 + 9 + 4 = 49, so the distance is 14/7 = 2.
Related questions
Which plane contains the three points (2, 0, 0), (0, 2, 0) and (0, 0, 2)?Which plane through the origin contains the y-axis and the point (1, 0, 1)?Which direction does the y-axis usually point in computer graphics displays?What happens to the orientation of a plane coordinate system if both axes are switched in In which quadrant is the abscissa negative and the ordinate positive?The axes of a two-dimensional Cartesian system divide the plane into how many regions callWhat name is given to the generalization of quadrant and octant to any number of dimensionWhat is the distance between the points (1, 2, 3) and (4, 6, 3)?