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Unformatted text preview: The angle between v and w is obtuse if The coefficient of is called the component of u along v : Where is the angle between u and v . 12.4: The Cross Product The cross product of vectors is the vecor: The cross product is the unique vector with the following three properties: 1. is orthogonal () to v and w . 2. has length ( = angle between v and w ). 3. forms right-handed system. Properties of cross product Area of parallelogram spanned by v and w Volume of parallelepiped, 12.5: Planes in R 3 An equation of the plane through with normal vector can be written in these three ways: Vector form: Scalar forms: Where...
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