Final answer:
In geometry, a vertex is the point where two or more rays meet, which makes the statement true. Vectors can indeed form right-angle triangles with their components, and the Pythagorean theorem can be applied to determine the length of the resultant vector if the vectors are at right angles.
Step-by-step explanation:
The question relates to vector mathematics in physics. First, let's address the statement: 'A vertex is an endpoint that 2 or more rays share.' The correct answer to this statement is A) True. In geometry, a vertex is indeed the point where two or more rays (sides of angles) meet.
Next, the relationship between vectors and geometry is seen when dealing with a vector represented in a coordinate system. The statement 'A vector can form the shape of a right angle triangle with its x and y components' is true, as the x and y components serve as the legs of the right triangle, with the vector itself being the hypotenuse.
Similarly, to find the length of the resultant vector when two vectors at right angles to each other are added, we can indeed use the Pythagorean theorem. This is true because the vectors form a right angle triangle and the resultant vector is the hypotenuse.
Additionally, if the angles and the magnitude of one of two vectors are known, we can calculate the magnitude and direction of the resultant vector. This becomes complex when dealing with angles alone without magnitudes, as merely knowing the angles does not suffice to determine the final angle of the resultant vector without additional information.