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Find the distance between A (2,0,-1) and B (3,1,4) and find the mid-point of line segment AB."

Sagot :

Step-by-step explanation:

To Find :-

  • Distance between the two points .

Solution :-

Using Distance Formula ,

> d = √{ ( 2-3)² + (0-1)² + (-1-4)² }

> d = √{ (-1)² + (-1)² + (-5)² }

> d = √{ 1 + 1 + 25 }

> d = √26 .

Using midpoint formula ,

> m = ( 2+3/2 , 0+1/2 , -1+4/3 )

> m = ( 5/2 , 1/2 , -3/3 )

> m = ( 2.5 , 0.5 , -1 )