Concept
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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 Problems
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Need help with "The Cross Product of Vectors" problems? Watch expert teachers solve similar problems to develop your skills.
Problem 1
How to show that when you reverse the order of a cross product, you get the opposite result.
Problem 2
How to show that the cross product of vectors u and v is perpendicular to both u and v.
Problem 3
How to find the equation of a plane that contains three given points.
