Chapter 1: Vectors, Lines and Planes
Section 1.3: Dot Product
Example 1.3.15
If and , verify the product rule for differentiating the dot product .
Solution
Mathematical Solution
Maple Solution - Interactive
In the Student MultivariateCalculus package, differentiation automatically maps onto the components of a vector, just as in the VectorCalculus packages.
Tools≻Load Package: Student Multivariate Calculus
Loading Student:-MultivariateCalculus
Define the vectors A and B
Write as per Table 1.1.1.
Context Panel: Assign to a Name≻A
Context Panel: Assign to a Name≻B
Show the difference between and is zero
Context Panel: Evaluate and Display Inline
=
Alternate notation and calculation
Calculus palette: Differentiation operator Common Symbols palette: Dot-product operator
<< Previous Example Section 1.3 Next Section >>
© Maplesoft, a division of Waterloo Maple Inc., 2025. All rights reserved. This product is protected by copyright and distributed under licenses restricting its use, copying, distribution, and decompilation.
For more information on Maplesoft products and services, visit www.maplesoft.com
Download Help Document