Find the coordinates of the vector MN if the coordinates of the points M (3; -1; 7) and N (2; 4; 1) are given.
| March 19, 2021 | education
Since we know the coordinates of the starting point M (3; -1; 7) and the end point N (2; 4; 1), then to determine the coordinates of the vector MN, it is necessary to subtract the corresponding coordinates of the starting point M from the coordinates of the end point M. That is:
MN = (Nx – Mx; Ny – My; Mz – Nz).
Substitute the values into the formula and determine the coordinates of the vector MN:
MN = (2 – 3; 4 – (-1); 1 – 7) = (-1; 5; -6).
Answer: coordinates of the vector MN = (-1; 5; -6).
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