Purchase Solution

Vectors, Dot Products and Orthogonality

Not what you're looking for?

Ask Custom Question

3. Two vectors Xand Y are said to be orthogonal (perpendicular) if the angle between them is r/2.
(a) Prove that X and V are orthogonal if and only if X . Y = 0.
Use part (a) to determine if the following vectors are orthogonal.
(b) X =(?6,4.2) and Y =(6,5,8)
(c) X=(?4,8,3) and Y=(2,5,16)
(d) X = (?5. 7, 2) and Y = (4, 1, 6)
(e) Find two different vectors that are orthogonal to X = (1, 2, ?5).

Attachments
Purchase this Solution

Solution Summary

Vectors, Dot Products and Orthogonality are investigated. The solution is detailed and well presented.

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.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Exponential Expressions

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

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

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.