unorm [Action][Vector][norm]

Function: Returns the norm of a vector.

Syntax: norm (Mat [ ) ]

Example: To obtain the norm of the vector [1, 2, 3]

ucrossP [Action][Vector][crossP]

Function: Returns the cross product of two vectors.

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

•This command can be used with a 1 ⋅ N or N ⋅ 1 matrix only (N = 2, 3).

•A two-element matrix [a, b] or [[a], [b]] is automatically converted into a three-element matrix [a, b, 0] or [[a], [b], [0]].

Example: To obtain the cross product of the two vectors [1, 3, 5] and [2, 4, 6]

udotP [Action][Vector][dotP]

Function: Returns the dot product of two vectors.

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

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

Example: To obtain the dot product of the two vectors [1, 3, 5] and [2, 4, 6]

utoRect [Action][Vector][toRect]

Function: Returns an equivalent rectangular form [x y] or [x y z].

Syntax: toRect (Mat [,natural number] [ ) ]

•This command can be used with a 1 × N or N × 1 matrix only (N = 2, 3).

•This command returns “x” when “natural number” is 1, “y” when “natural number” is 2, and “z” when “natural number” is 3.

•This command returns a rectangular form when you omit “natural number”.

Example: To transform the polar form ['2 , ∠(π/4)] into an equivalent rectangular form (in the Radian mode)

utoPol [Action][Vector][toPol]

Function: Returns an equivalent polar form [r∠].

Syntax: toPol (Mat [,natural number] [ ) ]

•This command can be used with a 1 × 2 or 2 × 1 matrix only.

•This command returns “r” when “natural number” is 1, and “” when “natural number” is 2.

•This command returns a polar form when you omit “natural number”.

Example: To transform the rectangular form [1, 2] into its equivalent polar form

utoSph [Action][Vector][toSph]

Function: Returns an equivalent spherical form [ ρ ∠ ∠φ].

Syntax: toSph (Mat [,natural number] [ ) ]

•This command can be used with a 1 ⋅ 3 or 3 ⋅ 1 matrix only.

•This command returns “ρ” when “natural number” is 1, “ ” when “natural number” is 2, and “φ” when “natural number” is 3.

•This command returns a spherical form when you omit “natural number”.

Chapter 2: Main Application

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