Orthogonal planes
Not what you're looking for?
Given two planes with equations x + 2y + z = 1 and x - 2y + 3z = 3,
(a) Show that the planes are orthogonal.
(b) Find the plane that is orthogonal to the given ones and passes through the point
(1;-1; 2).
Purchase this Solution
Solution Summary
This provides an example of working with orthogonal planes.
Solution Preview
a vector normal to the first plane is (1, 2, 1) and a vector normal to the second is (1, -2, 3);
the dot product of these two normals is 1 - 4 + 3 = 0; hence, the planes ...
Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.