Math
posted by yoshii .
find the distance between M(1; 0; 3) point and 2x2y+z+7=0 plane

If (a,b,c) is any point, then its distance to
Ax + By +Cz + D =0 is
Aa + Bb + Cc + D/√(A^2 + B^2 + C^2)
= 2(1)  2(0) + 1(3) + 7/√(1 + 0 + 9)
= 6/√10
or
= 6√10/10 = 3√10/5
Respond to this Question
Similar Questions

????Math Question????8th grade adv.math
Algebra! How is the distance formula and the pythagorean theroem similar? 
Linear Algebra
In 3space, a plane abc is spanned by three points a, b, c. The point x does not lie on this plane. I'm trying to find the formulas used to find the point p on abc with minimal distance to x. I know the point p must be perpendicular … 
trig
A plane is flying at an elevation of 30000 feet. It is within sight of the airport and the pilot finds that the angle of depression to the airport is 18. Find the distance between the plane and the airport. Find the distance between … 
Math  distance b etween a line and plane
Find the distance between the parallel line and the plane. line: vector r = [2,0,1]+t[1,4,1] plane: 2xy+2z=4 
foundation of mechanics
A particle is released from rest at a point P on an inclined plane. The inclination of the plane is tan"1 (4/3) to the horizontal. If the coefficient of friction between the particle and the plane is 1/3, find i) the speed of the particle … 
Pre Calc
A plane (A) heading south at 120 mph and a plane (B) heading west at 600 mph are rlying tword the same point at the same altitude. Plane A is 100 miles from the point where the flight patterns intersect and plane B is 550 miles from … 
physics
A toy plane p starts flying from point A along a straight horizontal line 20 m above ground level starting with zero initial velocity and acceleration 2 m /s² as shown. At the same instant, a man P throws a ball vertically upwards … 
Math
If a plane has intercepts at 2a, 3a, and 4a along the three Cartesian coordinates where a is the lattice constant of the cubic cell, (i) find the Miller indices of the plane and (ii) find the distance between the neighboring planes … 
math
Find the distance between the point and the plane. (2, 5, 3) 3x + 2y – 3z = –6 
maths
find the distance between the point and the plane (2, 5, 3) 3x + 2y  3z = 6