Дано:
A(6, -8)
B(7, -2)
C(2, -8)
D(10, -4)
Найти:
Координаты векторов AB, AD, BC, DB, CA, CB
Решение:
1. Вектор AB:
AB→ = B - A = (7 - 6, -2 - (-8)) = (1, 6)
2. Вектор AD:
AD→ = D - A = (10 - 6, -4 - (-8)) = (4, 4)
3. Вектор BC:
BC→ = C - B = (2 - 7, -8 - (-2)) = (-5, -6)
4. Вектор DB:
DB→ = B - D = (7 - 10, -2 - (-4)) = (-3, 2)
5. Вектор CA:
CA→ = A - C = (6 - 2, -8 - (-8)) = (4, 0)
6. Вектор CB:
CB→ = B - C = (7 - 2, -2 - (-8)) = (5, 6)
Ответ:
AB→ = (1, 6)
AD→ = (4, 4)
BC→ = (-5, -6)
DB→ = (-3, 2)
CA→ = (4, 0)
CB→ = (5, 6)