Find the length of the segment AB if A (-1 5 // 16) and B (-2 11/24).
| June 11, 2021 | education
Points A (-1 / 5/16) and B (-2 / 11/24) are given,
x (a) = -1 y (a) = 5 z (a) = 16
x (b) = -2 y (b) = 11 z (b) = 24.
The distance between these points is the line segment that connects these points.
AB = √ (xb – xa) ^ 2 + (yb – ya) ^ 2 + (zb – za) ^ 2
Substitute the values under this formula AB = √ ((- 2 – (-1)) ^ 2 + (11 – 5) ^ 2) + (24 – 16) ^ 2 = √ ((- 1) ^ 2 + 6 ^ 2 + 8 ^ 2) = √ (1 + 36 + 64) = √ (101).
The answer is AB = √ (101).
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