Manuals/calci/VECTORPRODUCT

VECTORPRODUCT (a,b)

OR

CROSSPRODUCT (a,b)

• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b} are any real numbers.

Description

• This function shows the Cross product of two numbers.
• Vector product is also called Cross product.
• The Vector product is defined in three dimensional space and it is denoted by axb.
• In VECTORPRODUCT (a,b), a and b are any two positive real numbers.
• We can calculate the Cross Product this way:
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a X b} = $\mid a\mid$.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mid b\mid} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle sin(\theta) n}
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mid a\mid} is the magnitude (length) of vector a
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mid b} is the magnitude (length) of vector b
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \theta} is the angle between a and b
• Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n} is the unit vector at right angles to both a and b.

Examples

1. VECTORPRODUCT([2,3,5],[8,6,4]) = -18 32 -12
2. VECTORPRODUCT([4,10,3.2],[9,5.3,4]) = 23.04 12.8 -68.8
3. VECTORPRODUCT([5.3,7.2,8],[-6,-4,7]) = 82.4 -85.1 22.000000000000004

Related Videos

Cross Product

See Also

• DOTPRODUCT
• CARTESIANPRODUCT
• CROSSPRODUCT

References

Vector Product

• List of Main Z Functions
• Z3 home