Chapter 1: Vectors, Lines and Planes
Section 1.2: Vector Arithmetic
Example 1.2.1
Normalize the vector A=3 i−4 j.
Solution
Mathematical Solution
The magnitude of the vector A=3 i−4 j is A=32+−42=25=5.
To normalize A, divide by its magnitude to obtain A/A = 35i−45j.
Maple Solution - Interactive
Initialize
Tools≻Load Package: Student Multivariate Calculus
Loading Student:-MultivariateCalculus
Enter and normalize A
Enter the vector A as per Table 1.1.1. Context Panel: Evaluate and Display Inline
Context Panel: Student Multivariate Calculus≻Normalize
3,−4 = →normalize
Normalize via first principles
Keyboard A. (See Table 1.1.1.)
Context Panel: Assign to a Name≻A
3,−4→assign to a nameA
Type A Context Panel: Evaluate and Display Inline
Context Panel: Student Multivariate Calculus≻Norm
A = →Euclidean-norm5
Divide A by its norm.
Context Panel: Evaluate and Display Inline
A/5 =
Maple Solution - Coded
Use the Normalize command
Install the Student MultivariateCalculus package.
withStudent:-MultivariateCalculus:
Apply the Normalize command.
Normalize3,−4
Assign the vector to the name A.
Use the Norm command to divide A by its norm.
A≔3,−4:A/NormA
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