Example 1-3-8 - Maple Help



Chapter 1: Vectors, Lines and Planes



Section 1.3: Dot Product



Example 1.3.8



Suppose the components of the planar vectors A and B are functions of $t$, and the derivative of such vectors is defined to be the vector of componentwise derivatives. If the prime denotes differentiation with respect to $t$, show that

 a) $\left(\mathbf{A}·\mathbf{B}\right)\prime =\mathbf{A}\prime ·\mathbf{B}+\mathbf{A}·\mathbf{B}\prime$
 b)