- #1

Tegdif

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- TL;DR Summary
- The Dot Product of a Vector 'a' and a Derivative 'b' is the same like the negative of the Derivative 'a' and the Vector 'b'.

**Summary:**The Dot Product of a Vector 'a' and a Derivative 'b' is the same like the negative of the Derivative 'a' and the Vector 'b'.

Hello, I have the following Problem. The Dot Product of a Vector 'a' and a Derivative 'b' is the same like the negative of the Derivative 'a' and the Vector 'b'.

**a, b, c**are Vectors.

And

**a', b', c'**are the derivative of them.

**a**⋅

**b**=

**a⋅c**=

**b⋅c**= 0

**b'**= α

**a**+ β

**c**

⇒

**a' ⋅ c**=

**- a ⋅ c'**(1)

I don't understand how you get the last Formula (1).