Find the length of the vector MN if the points M (-2; 1) and N (-4; 3) are given.
| September 4, 2021 | education
Let’s find the length of the vector MN, if the points M (-2; 1) and N (-4; 3) are given.
МN = √ ((x2 – x1) ^ 2 + (y2 – y1) ^ 2) = √ ((- 4 – (-2)) ^ 2 + (3 – 1) ^ 2) = √ ((- 4 + 2) ^ 2 + 2 ^ 2) = √ ((- 2) ^ 2 + 2 ^ 2) = √ (4 + 4) = √ (2 * 4) = √2 * √4 = √2 * 2 = 2 * √2;
As a result, we got the vector length equal to МN = 2 * √2.
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