Calc_Lecture_04

# Calc_Lecture_04 - Summary of Lecture 3 1 Summary of Lecture...

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1 Summary of Lecture 3

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2 Summary of Lecture 3
3 Lecture 4 The Cross Product

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4 The Cross Product Many applications in physics, engineering, and geometry involve finding a vector in space that is orthogonal to two given vectors. You will study a product that will yield such a vector. It is called the cross product, and it is most conveniently defined and calculated using the standard unit vector form. Because the cross product yields a vector, it is also called the vector product.
5 The Cross Product

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6 A convenient way to calculate u × v is to use the following determinant form with cofactor expansion. The Cross Product
7 Note the minus sign in front of the j -component. Each of the three 2 × 2 determinants can be evaluated by using the following diagonal pattern. Here are a couple of examples. The Cross Product

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8 Example 1 – Finding the Cross Product Given u = i – 2 j + k and v = 3 i + j – 2 k , find each of the following.
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Calc_Lecture_04 - Summary of Lecture 3 1 Summary of Lecture...

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