Complete the square to write the equation of the sphere in standard form. x2 + y2...

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Question

Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 5x - 2y + 8z + 22 = 0 Find the cente

Find the component form and magnitude of the vector v with the given initial and terminal points. Then find a unit vector in

Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to three decimal places and par

Answer 1

Answer #1

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(x+5/2)^2 + (y-1)^2 + (z+4)^2 = 5/4

center = (-5/2 , 1 , -4)

radius = sqrt(5)/4

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v = ( -12 , -13 , -2)

||v|| = sqrt(317)

v/||v|| = ( -12/sqrt(317) , -13/sqrt(317) , -2/sqrt(317) )

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a) = 0.391

b)= 22.4

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Answer 2

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