Posted by **yoshii** on Friday, January 18, 2013 at 11:27am.

find the distance between M(1; 0; -3) point and 2x-2y+z+7=0 plane

- Math -
**Reiny**, Friday, January 18, 2013 at 12:11pm
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

## Answer this Question

## Related Questions

- trig - A plane is flying at an elevation of 30000 feet. It is within sight of ...
- Linear Algebra - In 3-space, a plane abc is spanned by three points a, b, c. The...
- Pre Calc - A plane (A) heading south at 120 mph and a plane (B) heading west at ...
- physics - A toy plane p starts flying from point A along a straight horizontal ...
- math - Find the distance between the point and the plane. (2, 5, 3) 3x + 2y – 3z...
- foundation of mechanics - A particle is released from rest at a point P on an ...
- Math - If a plane has intercepts at 2a, 3a, and 4a along the three Cartesian ...
- ????Math Question????8th grade adv.math - Algebra! How is the distance formula ...
- Math - distance b etween a line and plane - Find the distance between the ...
- Math - Use lagrange multipliers to find the point on the plane x-2y 3z-14=0 that...

More Related Questions