The Cross Product of Vectors - Concept

Concept Concept (1)

In Calculus we often use the cross product of vectors to find orthogonal vectors and the area of parallelograms in three dimensions. The cross product of vectors is found by identifying the 3x3 determinants, however we substitute one of the rows with symbols that represent unit vectors. Finding 3x3 determinants can be made easier if we understand how to simplify determinants.

Sample Sample Problems (3)

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The Cross Product of Vectors - Problem 1
Problem 1
How to show that when you reverse the order of a cross product, you get the opposite result.
The Cross Product of Vectors - Problem 2
Problem 2
How to show that the cross product of vectors u and v is perpendicular to both u and v.
The Cross Product of Vectors - Problem 3
Problem 3
How to find the equation of a plane that contains three given points.