Posted by Krista on Monday, April 8, 2013 at 10:47pm.
Determine whether the planes are parallel or orthogonal.
Equations given:
5x  3y + z = 4
x + 4y + 7z = 1
How exactly do I solve this? It wasn't covered completely in class.

Calculus  Reiny, Tuesday, April 9, 2013 at 12:09am
The normals of the two planes are
(5, 3, 1) and (1 , 4, 7)
Since one is not a multiple of the other, the two planes cannot be parallel
if they are orthogonal (perpendicular) then their dot product must be zero
so (5,3,1)∙(1,4,7) = 5 12 + 7 = 0
YEs, they are orthogonal
Answer This Question
Related Questions
 Math  intersection of planes  You are given the following two planes: x+4y3z...
 math  ) Determine whether the following two planes x + 4y − z = 7 and 5x...
 Algebra  Determine if the following two planes 2x+3yz=4 and 3x4y6z=1 are ...
 Math(Calculus)  Ok I have a bunch of questions, please bare with me and i'd ...
 Calc  Determine whether u and v are orthogonal, parallel or neither u= <4, ...
 Math  Determine whether u and v are orthogonal,parallel, or neither. u=2i+j v=...
 multivariable calculus  Consider the surface given by the equation: 2x2  3z2...
 Calculus  Use normal vectors to determine the intersection, if any, for each of...
 Plz Check My Geometry  Out of 30 questions these few I struggled with. I put ...
 Plz Check My Geometry  Out of 30 questions these few I struggled with. I put ...
More Related Questions