Manuals/calci/CROSSPRODUCT

CROSSPRODUCT (a,b)

• $a$ and $b$ are any real numbers.

Description

• This function shows the Cross product of two numbers.
• Cross product is also called Vector product.
• The cross product is defined in three dimensional space and it is denoted by axb.
• In CROSSPRODUCT (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} = 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} .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. CROSSPRODUCT([2,7,8],[3,9,5]) =-37 14 -3
2. CROSSPRODUCT([3,8,-2],[10,6,-5]) = -28 -5 -62
3. CROSSPRODUCT([5.2,9.1,-4],[4,6,8]) = 96.8 -57.6 -5.199999999999996

See Also

• DOTPRODUCT
• CARTESIANPRODUCT

References

Cross Product

• List of Main Z Functions

• Z3 home