Difference between revisions of "Manuals/calci/CROSSPRODUCT"

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*In CROSSPRODUCT (a,b), a and b are any two positive real numbers.
 
*In CROSSPRODUCT (a,b), a and b are any two positive real numbers.
 
*We can calculate the Cross Product this way:
 
*We can calculate the Cross Product this way:
*<math>a\phi b</math> = <math>\mid a\mid</math>.<math> \mid b\mid</math><math> sin(\theta) n</math>
+
*<math>a\chi b</math> = <math>\mid a\mid</math>.<math> \mid b\mid</math><math> sin(\theta) n</math>
 
*<math>\mid a\mid</math> is the magnitude (length) of vector a
 
*<math>\mid a\mid</math> is the magnitude (length) of vector a
 
*<math>\mid b</math> is the magnitude (length) of vector b
 
*<math>\mid b</math> is the magnitude (length) of vector b
 
*<math>\theta</math> is the angle between a and b
 
*<math>\theta</math> is the angle between a and b
 
*n is the unit vector at right angles to both a and b
 
*n is the unit vector at right angles to both a and b

Revision as of 17:25, 28 December 2016

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.
  • 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\chi 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
  • n is the unit vector at right angles to both a and b