Vectors GA and BH are not equivalente according to definition of equivalence.
Are two given vectors equivalent?
In this problem we need to determine if vectors GA and BH are both equivalent. Two vectors are equivalent if and only if both are the same. Mathematical condition to be fulfilled is shown below:
GA = BH
And the definitions of each vector are, respectively:
GA = A(x, y) - G(x, y)
BH = H(x, y) - B(x, y)
If we know that A(x, y) = (1, 1), B(x, y) = (4, 4), G(x, y) = (- 3, 5) and H(x, y) = (0, 0), then the resulting vectors are, respectively:
GA = (1, 1) - (- 3, 5)
GA = (4, - 4)
BH = (0, 0) - (4, 4)
BH = (- 4, 4)
Vectors GA and BH are not equivalent since GA ≠ BH.