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ત્રિપરિમાણીય ભૂમિતિ

સરવાળો મેળવો :
$2 space open parentheses 1 comma space minus 1 comma space minus 1 close parentheses space minus space 2 space open parentheses negative 1 comma space 1 comma space 1 close parentheses$

2 space open parentheses 1 comma space minus 1 comma space minus 1 close parentheses space minus space 2 space open parentheses negative 1 comma space 1 comma space 1 close parentheses equals space open parentheses 2 comma space minus 2 comma space minus 2 close parentheses space plus space open parentheses negative 2 close parentheses space open parentheses negative 1 comma space 1 comma space 1 close parentheses equals space open parentheses 2 comma space minus 2 comma space minus 2 close parentheses space plus space open parentheses 2 comma space minus 2 comma space minus 2 close parentheses equals space open parentheses 2 space plus space 2 comma space minus 2 space plus space open parentheses negative 2 close parentheses comma space minus 2 space plus space open parentheses negative 2 close parentheses close parentheses equals space open parentheses bold 4 bold comma bold space bold minus bold 4 bold comma bold space bold minus bold 4 close parentheses

સરવાળો મેળવો :
$2 space open parentheses 1 comma space 2 comma space 3 close parentheses space plus space open parentheses 1 comma space 0 comma space minus 1 close parentheses$

-2 (1, 2, 3) + (1, 0, -1

= (-2, -4, -6) + (1, 0, -1)

= (-2 + 1, -4 + 0, -6 + (-1))

= (-1, -4, -7)

સરવાળો મેળવો :
$straight x space open parentheses 1 comma space 0 comma space 0 close parentheses space plus space straight y space open parentheses 0 comma space 1 comma space 0 close parentheses space plus space straight z space open parentheses 0 comma space 0 comma space 1 close parentheses space semicolon space open parentheses straight x comma space straight y comma space straight z space element of space straight R close parentheses$

straight x space open parentheses 1 comma space 0 comma space 0 close parentheses space plus space straight y space open parentheses 0 comma space 1 comma space 0 close parentheses space plus space straight z space open parentheses 0 comma space 0 comma space 1 close parentheses equals space open parentheses straight x comma space 0 comma space 0 close parentheses space plus space open parentheses 0 comma space straight y comma space 0 close parentheses space plus space open parentheses 0 comma space 0 comma space straight z close parentheses equals space open parentheses straight x space plus space 0 space plus space 0 comma space 0 space plus space straight y space plus space 0 comma space 0 space plus space 0 space plus space straight z close parentheses equals space open parentheses bold x bold comma bold space bold y bold comma bold space bold z close parentheses

સરવાળો મેળવો :
$2 space open parentheses 1 comma space 2 comma space 1 close parentheses space plus space 3 space open parentheses 1 comma space minus 2 comma space 0 close parentheses$

2 space open parentheses 1 comma space 2 comma space 1 close parentheses space plus space 3 space open parentheses 1 comma space minus 2 comma space 0 close parentheses equals space open parentheses 2 comma space 4 comma space 2 close parentheses space plus space open parentheses 3 comma space minus 6 comma space 0 close parentheses equals space open parentheses 2 space plus space 3 comma space 4 space plus space open parentheses negative 6 close parentheses comma space 2 space plus space 0 close parentheses bold equals bold space open parentheses bold 5 bold comma bold space bold minus bold 2 bold comma bold space bold 2 close parentheses

સરવાળો મેળવો :
$straight x subscript 1 space open parentheses 1 comma space 0 close parentheses space plus space straight x subscript 2 space open parentheses 0. space 1 close parentheses space semicolon space open parentheses straight x subscript 1 comma space straight x subscript 2 space element of space straight R close parentheses$

x subscript 1 space open parentheses 1 comma space 0 close parentheses space plus space x subscript 2 space open parentheses 0 comma space 1 close parentheses equals space open parentheses x subscript 1 space comma space 0 close parentheses space plus space open parentheses 0 comma space x subscript 2 close parentheses equals space open parentheses x subscript 1 space plus space 0 comma space 0 space plus space x subscript 2 close parentheses equals bold space open parentheses bold x subscript bold 1 bold comma bold space bold x subscript bold 2 close parentheses

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