What is the angle between $< - 4, 0, - 1 >$ $<-4 , 0 , -1 >$ and $< 8, 6, 3 >$ $< 8 , 6 , 3 >$ ?

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What is the angle between $< - 4, 0, - 1 >$ $<-4 , 0 , -1 >$ and $< 8, 6, 3 >$ $< 8 , 6 , 3 >$ ?

1 Answer

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Answer 1 · 2016-02-16T11:39:19

144.4 deg, nearly.

Explanation:

Let the vectors be called AC and AB.
Then the vector BC = AB - AC = <12, 6, 4>.
The sides a, b and c of the $△$ $triangle$ ABC are 14, $\sqrt{}$ $sqrt$ 17 and $\sqrt{}$ $sqrt$ 109.
The angle at A is arccos (( b.b + c.c - a.a ) / (2bc).= arccos( -0.8131) =144.4 deg.

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What is the angle between $< - 4, 0, - 1 >$ $<-4 , 0 , -1 >$ and $< 8, 6, 3 >$ $< 8 , 6 , 3 >$ ?

1 Answer

Explanation:

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Math

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What is the angle between <-4 , 0 , -1 > <−4,0,−1><-4 , 0 , -1 > and < 8 , 6 , 3 > <8,6,3> < 8 , 6 , 3 > ?

1 Answer

Explanation:

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What is the angle between $< - 4, 0, - 1 >$ $<-4 , 0 , -1 >$ and $< 8, 6, 3 >$ $< 8 , 6 , 3 >$ ?