Final answer:
It is true that a vector can form a right angle triangle with its x and y components, and the Pythagorean theorem can be used to calculate the length of a resultant vector when two vectors are at right angles to each other.
Step-by-step explanation:
True or False: A vector can form the shape of a right angle triangle with its x and y components. The answer is True. When you break a vector down into its horizontal (x-axis) and vertical (y-axis) components, they can indeed form a right angle triangle with the vector itself being the hypotenuse.
True or False: We can use the 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. This statement is also True. When two vectors are at right angles, their components can be thought of as the sides of a right angle triangle, and the resultant vector is the hypotenuse. Therefore, the Pythagorean theorem applies, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.