Calculus 3: The Cross Product (Video #4) | Math with Professor V

Definition of the cross product. Using the cross product to find a vector mutually orthogonal to two other vectors, finding the area of a parallelogram; the scalar triple product and volume of a parallelepiped; finding a vector orthogonal to the plane containing three points. #crossproduct #calculus3 #mathtvwithprofessorv #youtubemath #mathprofessor #calculus #mathvideos #parallelepiped #orthogonal

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[eb]

this vid is 3 years old but ill shoot my shot. how did you know the signs of i, j, and k?

[diegocortes]

How do you to multiply in the opposite order when doing cross product? At first, I thought it was when you had a negative number multiplied with zero, as shown in the two very first examples: 0*-3 - 2*6 (first example) and 6*2 - (-3)*0 (second example). But I saw at 13:22, it was the exact opposite, where I thought it would be 0*(-1) - 1.