ABCD-square, AB = 5 cm. Find the modulus of vectors AB + AD.

The vectors are added according to the triangle rule. The sum of vectors is a vector, it is constructed as follows:

it is required to find: AB + AD (where ABCD is a square);

the end of AB will be the beginning of the resulting vector;

the end of AD will be the end of the resulting vector BD.

This is the diagonal. We find its length: d = a * √2 = 5 * √2.

This will be the length or modulus of the sum. You can substitute the root value and the answer will be 6.41421356237

Answer: 5 * √2