Decomposition of a vector.
Not what you're looking for?
Decompose 6i-3j-6k into vectors parallel and perpendicular to following vectors.
a) i+j+k
b) 2i-j-2k
c) 2j-k
Purchase this Solution
Solution Summary
The process of decomposing a vector into the sum of components perpendicular and parallel to another vector is examined and illustrated.
Solution Preview
The standard procedure for representing a vector V as a sum of two vectors V_1 and V_2, one parallel to the given one and one perpendicular to the given vector W (thus, decomposing V) is to find the orthogonal projection Proj_W (V) of V onto W (and this will be the vector parallel to W) and then subtract this projection from the original vector V, thus obtaining the perpendicular vector. More ...
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.
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.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts