Final answer:
The questions address properties of vector components, usage of the Pythagorean theorem in vector addition, and other concepts in physics such as special relativity and wave amplitudes.
Step-by-step explanation:
The original question seems to address the concept of vector components and their properties in a physics context. It mentions the proportions of x and y, which could be interpreted as the components of a vector in two-dimensional space. To clarify the questions and answers given:
- True or False: A vector can form the shape of a right-angle triangle with its x and y components. The answer is True. Any vector in two-dimensional space can be broken down into orthogonal components that form the legs of 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. The answer is True.
- The statement 'Every 2-D vector can be expressed as the product of its x and y-components' is False. Vectors are expressed as the sum of their components, not the product.
Moreover, in the context of special relativity, given by the portion '4.303 y = 30.0 0.1434 y', it is indicated that time dilation factors are being considered, where y is likely the Lorentz factor. And in physics involving waves, amplitude is a crucial concept, where the interaction of waves depends on their alignment, as stated 'The amplitude of one wave is affected by the amplitude of another wave only when they are precisely aligned', which is True.