If $A = < 6, - 4, - 1 >$ $A= <6 ,-4 ,-1 >$ and $B = < - 4, - 9, 4 >$ $B= <-4 ,-9 ,4 >$ , what is $A \cdot B - | | A | | | | B | |$ $A*B -||A|| ||B||$ ?

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If $A = < 6, - 4, - 1 >$ $A= <6 ,-4 ,-1 >$ and $B = < - 4, - 9, 4 >$ $B= <-4 ,-9 ,4 >$ , what is $A \cdot B - | | A | | | | B | |$ $A*B -||A|| ||B||$ ?

1 Answer

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Answer 1 · 2016-04-19T11:20:57

$- 69.39$ $-69.39$

Explanation:

$A . B = 6 . - 4 + - 4 \cdot - 9 + - 1.4 = - 24 + 36 - 4 = 8$ $A.B = 6.-4+ -4*-9 + -1.4=-24+36-4=8$
$| | A | | = \sqrt{6^{2} + {(- 4)}^{2} + {(- 1)}^{2}} = \sqrt{53}$ $||A||= sqrt (6^2+(-4)^2+ (-1)^2)=sqrt 53$
$| | B | | = \sqrt{{(- 4)}^{2} + {(- 9)}^{2} + 4^{2}} = \sqrt{113}$ $||B||= sqrt ((-4)^2+(-9)^2+ 4^2)=sqrt 113$
$:.A.B-||A||||B||= 8-sqrt5989= -69.39$ [Ans]

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If $A = < 6, - 4, - 1 >$ $A= <6 ,-4 ,-1 >$ and $B = < - 4, - 9, 4 >$ $B= <-4 ,-9 ,4 >$ , what is $A \cdot B - | | A | | | | B | |$ $A*B -||A|| ||B||$ ?

1 Answer

Explanation:

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If A= <6 ,-4 ,-1 >A=<6,−4,−1>A= <6 ,-4 ,-1 > and B= <-4 ,-9 ,4 >B=<−4,−9,4>B= <-4 ,-9 ,4 >, what is A*B -||A|| ||B||A⋅B−||A||||B||A*B -||A|| ||B||?

1 Answer

Explanation:

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If $A = < 6, - 4, - 1 >$ $A= <6 ,-4 ,-1 >$ and $B = < - 4, - 9, 4 >$ $B= <-4 ,-9 ,4 >$ , what is $A \cdot B - | | A | | | | B | |$ $A*B -||A|| ||B||$ ?