Find the coordinates of the vector AB and its length if тA with coordinates (1; 0; 2) and т B with coordinates (-2; 4; 2)
| September 30, 2021 | education
Find the coordinates of the vector AB and its length.
T. A (1; 0; 2);
T. B (-2; 4; 2)
| AB | = √ ((x2 – x1) ² + (y2 – y1) ² + (z2 – z1) ²) = √ ((- 2 – 1) ² + (4 – 0) ² + (2 – 2) ²) = √ ((- 3) ² + (4) ² + (0) ²) = √ (9 + 16 + 0) = √25 = 5.
AB ((-2 – 1); (4 – 0); (2 – 2)) = (-3; 4; 0).
Answer: AB (-3; 4; 0); | AB | = 5.
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