In this video I show that interchanging the vectors in the scalar triple product result in the same answer but not when doing so for the vector triple product. I also show that adding vectors before taking a cross product is equivalent to taking two cross products and adding them up.
Time stamps:
- Question 10: Adding vectors before taking the cross product: 0:00
- Adding vectors in cross product can be separated into 2 cross products: 2:25
- Question 11: Dot product of a cross product: 5:11
- Proof of this property of the scalar triple product: 6:34
- Vectors in scalar triple product can be interchanged: 12:06
- Question 12: Vectors in Vector Triple Product can't be interchanged: 12:34
- Using an example to test the Vector Triple Product: 13:54
- Reversing the vector triple product calculation: 18:52
- Reversing order of cross products gives different answers: 21:32
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- Vectors and the Geometry of Space: [ Ссылка ] .
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