Final answer:
The statement is True. The Pythagorean theorem can indeed 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 a. True. The Pythagorean theorem can indeed 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.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
When two vectors are at right angles to each other, they form a right triangle. Thus, by applying the Pythagorean theorem, we can find the length of the resultant vector by finding the square root of the sum of the squares of the lengths of the two original vectors.