Find coordinates of vector AB if A (5; -1), B (-2; 7)

Vector coordinates are calculated by the formula: {x2 – x1; y2 – y1}, where x1, y1 are the coordinates of the beginning of the vector, and x2, y2 are the coordinates of the end of the vector.

Given:

A (5; -1)

B (-2; 7)

Find: coordinates of vector AB.

Solution:

In this case, x1 = 5, y1 = -1; x2 = -2, y2 = 7.

Then using the above formula we get:

AB {-2 – 5; 7 – (-1)};

AB {-7; eight}.

Answer: AB {-7; eight}.