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If the distance between the points (1,-8...

If the distance between the points (1,-8,a) and (-3,-5,4) is 5 units then find the value of 'a'.

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Distance between the points (1,-8,a) and (-3,-5,4)=5 units
`implies sqrt((1+3)^(2)+(-8+5)^(2)+(a-4)^(2))=5`
`implies 16+9+(a-4)^(2)=25`
`implies (a-4)^(2)=0`
`implies a=4`.
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