Find the length of the vector AB given by coordinates A (3; 2; -1) points B (4; -1; 0)

As you know, to find the length of the vector AB, it is necessary to determine the root of the sum of squares of the difference of its coordinates.

Therefore, first you need to find the difference between the coordinates of points A and B:

3 – 4 = -1;

2 – (-1) = 3;

-1 – 0 = -1.

Now let’s square the obtained values:

(-1) ^ 2 = 1;

3 ^ 2 = 9:

(-1) ^ 2 = 1.

Now add the resulting values:

1 + 1 + 9 = 11.

Find the root of the number 11. Since 11 is a prime number, therefore, it is impossible to partially extract the root.

Answer: √11.