Given point A (0,1) B (1,0) C (1,2) D (2,1) Prove that vectors AB and CD are even.
| April 27, 2021 | education
To prove the equality of vectors AB and CD, compare the coordinates of these vectors.
Knowing the coordinates of each of the points A, B, C and D, we can calculate the coordinates of vectors AB and CD:
AB = {1 – 0; 0 – 1} = {1: -1};
CD = {2 – 1; 1 – 2} = {1: -1}.
Since the coordinates of vectors AB and CD are equal, then vectors AB and CD are equal.
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