Final answer:
True, we can use the Pythagorean theorem 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:
True or False-We can use Pythagorean theorem to calculate the length of the resultant vector obtained from the addition of two vectors which are at right angles to each other.
The Pythagorean theorem states that 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. So, when adding two vectors at right angles, we can treat them as the legs of a right triangle and use the Pythagorean theorem to find the length of the resultant vector.
For example, if we have two vectors A and B, each with a magnitude of 3 units and they are perpendicular to each other, we can find the length of the resultant vector C using the Pythagorean theorem: C^2 = A^2 + B^2. Therefore, C^2 = 3^2 + 3^2 = 18, and taking the square root of both sides gives us C = √18 = 3√2 units.