Final answer:
Yes, it is true that a vector can form the shape of a right-angle triangle with its x and y components as they are perpendicular to each other.The statement is True
Step-by-step explanation:
The student's question asks whether it is true or false that a vector can form the shape of a right-angle triangle with its x and y components. The answer to this question is true. A vector in a plane can indeed be broken down into its x (horizontal) and y (vertical) components, which are perpendicular to each other. When these components are drawn from the tail of the vector, they meet at a right angle, forming a right-angle triangle with the vector itself as the hypotenuse.