Problem 16
Question
Find the distance between the two points. $$ (8,-2,2),(8,-2,4) $$
Step-by-Step Solution
Verified Answer
The distance between the two points is 2 units
1Step 1: Identify the coordinates
Identify the coordinates of both points. The coordinates for the first point are (8,-2,2) and the coordinates for the second point are (8,-2,4).
2Step 2: Apply the distance formula
Apply the distance formula. For the x and y coordinates, the calculation will result to zero since x1=x2 and y1=y2. So, the difference will be present only on z-axis. \[ d = sqrt((8-8)^2 + (-2 - -2)^2 + (4-2)^2) \]
3Step 3: Compute the distance
Solve the equation above to find the distance d. Simplifying the expression gives: \[ d = sqrt(0 + 0 + 2^2) = sqrt(4) \]
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