Using the Vector Submenu

The [Vector] submenu contains commands that are related to vector calculations.

•A vector is handled as a 1 ⋅ N matrix or N ⋅ 1 matrix.

•A vector in the form of 1 ⋅ N can be entered as [……] or [[……]].

Example: [1, 2], [[1, 2]]

• Vectors are considered to be in rectangular form unless ∠() is used to indicate an angle measure.

uaugment [Action][Vector][augment]

Function: Returns an augmented vector [Mat-1 Mat-2].

Syntax: augment (Mat-1, Mat-2 [ ) ]

Example: To augment vectors [1, 2] and [3, 4]

ufill [Action][Vector][fill]

Function: Creates a vector that contains a specific number of elements, or replaces the elements of a vector with a specific expression.

Syntax: fill (Exp, Mat [ ) ]

fill (Exp, 1, number of columns [ ) ]

Example: To replace the elements of the vector [1, 2] with x

Example: To create a 1 ⋅ 3 (1 row, 3 columns) vector, all of whose elements are “3”

udim [Action][Vector][dim]

Function: Returns the dimension of a vector.

Syntax: dim (Mat [ ) ]

Example: To determine the dimension of the vector [1, 2, 3]

• The vector [1, 2, 3] is handled as a 1 ⋅ 3 matrix.

uunitV [Action][Vector][unitV]

Function: Normalizes a vector.

Syntax: unitV (Mat [ ) ]

•This command can be used with a 1 ⋅ N or N ⋅ 1 matrix only. Example: To normalize the vector [1, 3, 5]

uangle [Action][Vector][angle]

Function: Returns the angle formed by two vectors.

Syntax: angle (Mat-1, Mat-2 [ ) ]

• This command can be used with a 1 ⋅ N or N ⋅ 1 matrix only.

Example: To determine the angle formed by vectors [1, 2] and [3, 4] (in the

Radian mode)

Chapter 2: Main Application

77