Final answer:
The statement about isometric drawings maintaining equal distances is true. Isometric drawings utilize scales and proportions to represent three-dimensional objects accurately in two-dimensions without distortion.
Step-by-step explanation:
The statement that in an isometric drawing all distances are the same is True. An isometric drawing is a type of drawing used for the visual representation of three-dimensional objects in two dimensions, in which the angles between projections of the axes are equal, making it a form of orthogonal projection. In these drawings, the unit scales and proportions are used to maintain equal measurements along all three axes (x, y, and z). Typically, the scale is such that the proportions of the drawing accurately reflect the actual proportions of the object. Thus, measurements in the isometric drawing can be directly compared and no distortion of size occurs in any direction, which is quintessential in scale drawings that use a scale to represent larger actual distances with smaller units.
When it comes to calculating distances and resultant vectors, it is True that 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, as this theorem applies to right-angled triangles and is used to find the hypotenuse's length given the lengths of the other two sides.