Example 1-5-2 - Maple Help



Chapter 1: Vectors, Lines and Planes



Section 1.5: Applications of Vector Products



Example 1.5.2



For the vectors A, B, and C of Example 1.5.1, and ,

 a) Verify the identity $\left(\mathbf{A}×\mathbf{B}\right)×\left(\mathbf{C}×\mathbf{D}\right)=\left[\mathbf{ACD}\right]\mathbf{B}-\left[\mathbf{BCD}\right]\mathbf{A}$.
 b) Verify the identity $\left(\mathbf{A}×\mathbf{B}\right)×\left(\mathbf{C}×\mathbf{D}\right)=\left[\mathbf{ABD}\right]\mathbf{C}-\left[\mathbf{ABC}\right]\mathbf{D}$.









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