# Given points A (0 and -3) B (-1 and 0) C (5 and 2) Find the coordinates and length of the vector AB.

October 5, 2021 | education

| Let’s find the coordinates of the vector AB, subtracting the coordinates of the beginning of the vector from the coordinates of the end of the vector, as a result we get:

AB = {-1 – 0; 0 + 3} = {-1; 3}

Let’s find the length of this vector as the square root of the sum of the squares of the coordinates:

| AB | = ((-1) ^ 2 + 3 ^ 2) ^ (1/2) = (1 + 9) ^ (1/2) = √10

Answer: AB = {-1; 3}

| AB | = √10

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