Purchase Solution

Triangle inequality

Not what you're looking for?

Ask Custom Question

Prove the triangle inequality starting with: |V+W|^2

You must use Re < W | V >(less than or equal to) |< V|W >| and the Schwarz inequality.

Show that the final inequality becomes an equality only if

|V> = b|W> where b is a real positive scalar.

Purchase this Solution

Solution Summary

This provides an example of proving the triangle inequality using the Schwarz inequality.

Purchase this Solution


Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

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

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.