Points A (5; -1) and B (1; 2) are given. Find the coordinates of the vector AB and its modulus.
| November 20, 2020 | education
Given: A (5; -1), B (1; 2)
Find: coordinates of vector AB and | AB |
Decision:
1) Vector AB = {x2-x1; y2-y1};
Vector AB = {1-5; 2 – (- 1)};
Vector AB = (- 4; 3);
2) | AB | = √x ^ 2 + y ^ 2;
| AB | = √ (-4) ^ 2 + 3 ^ 2:
| AB | = √16 + 9;
| AB | = √25;
| AB | = 5
Answer: Vector AB (-4; 3), | AB | = 5
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