Find the value of the dot product of vectors AB and AC if A (-1; -2), B (0; 4), C (5; -2).

univerkov | May 26, 2021 | education

A (-1; -2), B (0; 4), C (5; -2).

To find the dot product of vectors, you must first find the coordinates of the vestors AB and AC. To do this, subtract the start coordinate from the end coordinate.

AB (0 – (-1); 4 – (-2)) = (1; 6).

AC (5 – (-1); -2 – (-2)) = (6; 0).

We find the scalar product by the formula: ab = x1 * x2 + y1 * y2.

AB * AC = 1 * 6 + 6 * 0 = 6 + 0 = 6.

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