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Let A, B, and C Be Three Points on the Unit

Question 27

Essay

Let A, B, and C be three points on the unit sphere centered at the origin whose spherical coordinates are A = (1, 0, 0), B = (1,0,π4)\left( 1,0 , \frac { \pi } { 4 } \right) , and C = (1,π2,π3)\left( 1 , \frac { \pi } { 2 } , \frac { \pi } { 3 } \right) .(a) Find the angle between OA\overrightarrow { O A } and OB\overrightarrow { O B } .(b) Find the angle between OA\overrightarrow { O A } and OC\overrightarrow { O C } .(c) Find the angle between OB\overrightarrow { O B } and OC\overrightarrow { O C } .

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(a) 45°
(b...

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