Chapter 1: Vectors, Lines and Planes
Section 1.4: Cross Product
Example 1.4.4
Find a unit vector orthogonal to the plane containing the vectors and .
Solution
Mathematical Solution
The vector
= =
is orthogonal to both A and B. Of course, so is its negation, . Unit vectors in each of these two directions are
Maple Solution - Interactive
Initialize
Tools≻Load Package: Student Multivariate Calculus
Loading Student:-MultivariateCalculus
Enter A as per Table 1.1.1.
Context Panel: Assign to a Name≻A
Enter B as per Table 1.1.1.
Context Panel: Assign to a Name≻B
Obtain and normalize the vectors and
Common Symbols palette: Cross-product operator Context Panel: Evaluate and Display Inline
Context Panel: Student Multivariate Calculus≻Normalize
=
Maple Solution - Coded
Install the Student MultivariateCalculus package.
Define the vectors A and B.
Obtain the two possible solutions
Apply the Normalize command to the CrossProduct of A and B.
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