If $A = < 7, - 2, 1 >$ $A= <7 ,-2 ,1 >$ and $B = < 8, 6, 7 >$ $B= <8 ,6 ,7 >$ , what is $A \cdot B - | | A | | | | B | |$ $A*B -||A|| ||B||$ ?

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If $A = < 7, - 2, 1 >$ $A= <7 ,-2 ,1 >$ and $B = < 8, 6, 7 >$ $B= <8 ,6 ,7 >$ , what is $A \cdot B - | | A | | | | B | |$ $A*B -||A|| ||B||$ ?

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Answer 1 · 2016-03-06T16:37:13

$A . B - | | A | | \cdot | | B | | = - 38, 699$ $A.B-||A||*||B||=-38,699$

Explanation:

$A . B = 56 - 12 + 7 = 51 dot product$ $A.B=56-12+7=51" dot product"$
$| | A | | = \sqrt{49 + 4 + 1} = \sqrt{54}$ $||A||=sqrt(49+4+1)=sqrt54$
$| | B | | = \sqrt{64 + 36 + 49} = \sqrt{149}$ $||B||=sqrt(64+36+49)=sqrt149$
$A . B - | | A | | \cdot | | B | |$ $A.B-||A||*||B||$
$51 - (\sqrt{54 \cdot 149})$ $51-(sqrt(54*149))$
$51 - 89, 699$ $51-89,699$
$A . B - | | A | | \cdot | | B | | = - 38, 699$ $A.B-||A||*||B||=-38,699$

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If $A = < 7, - 2, 1 >$ $A= <7 ,-2 ,1 >$ and $B = < 8, 6, 7 >$ $B= <8 ,6 ,7 >$ , what is $A \cdot B - | | A | | | | B | |$ $A*B -||A|| ||B||$ ?

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If A=<7,−2,1>A= <7 ,-2 ,1 > and B=<8,6,7>B= <8 ,6 ,7 >, what is A⋅B−||A||||B||A*B -||A|| ||B||?

1 Answer

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If $A = < 7, - 2, 1 >$ $A= <7 ,-2 ,1 >$ and $B = < 8, 6, 7 >$ $B= <8 ,6 ,7 >$ , what is $A \cdot B - | | A | | | | B | |$ $A*B -||A|| ||B||$ ?