Points A (0,0) B (10, -10) and C (10, -11) are specified on the plane. Find the length of the vector AB + AC.

The solution to the problem must be performed in several steps: 1) determine the length of the vector AB; 2) determine the length of the vector AC; 3) find the length of the required vector. Taking into account the general mathematical rules and formulas for determining the length of a vector by known coordinates, we get:

1) | AB | = √ (bx – ax) ^ 2 + (by – ay) ^ 2 = √ (10 – 0) ^ 2 + ((-10-0) ^ 2) = √200;

| AC | = √ (bx – ax) ^ 2 + (by – ay) ^ 2 = √ (10-0) ^ 2 + ((-11-0) ^ 2) = √100 + 121 = √221;

AB + AC = √200 + √221.