Purchase Solution

Using cross products to find orthogonal vectors and areas

Not what you're looking for?

Ask Custom Question

Find a vector orthogonal to the plane through the points P, Q, and R and find the area of the triangle PQR.

P(1,0,0) Q(0,2,0) R(0,0,3)

Purchase this Solution

Solution Summary

One use of cross products is to find the area of triangles in 3D space. The solution comprises one example of this application.

Solution Preview

To find a vector orthogonal to the plane, first find any two direction vectors in the plane, then take their cross product:

The vector ...

Purchase this Solution

Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

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.

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.