Final answer:
The statement is true. The Pythagorean theorem can be used to calculate the length of the resultant vector obtained from the addition of two vectors that are at right angles to each other.
Step-by-step explanation:
The statement is True. The Pythagorean theorem can be used to calculate the length of the resultant vector obtained from the addition of two vectors that are at right angles to each other.
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. This can be represented by the equation a² + b² = c², where a and b are the lengths of the legs of the triangle, and c is the length of the hypotenuse.
When two vectors are at right angles to each other, their components along the x and y axes form the legs of a right triangle. By applying the Pythagorean theorem to the x and y components, we can find the length of the resultant vector.