Final answer:
The statement is False; the axes in an isometric drawing are spaced 120 degrees apart. Isometric drawings use a three-dimensional perspective, while Cartesian coordinate systems describe points in 3D space with mutually perpendicular axes. The right-angle triangle and Pythagorean theorem are frequently used to calculate vector magnitudes.
Step-by-step explanation:
The statement that an isometric drawing shows the major axes 90 degrees apart from one another is False. In an isometric drawing, the major axes are actually spaced 120 degrees apart, not 90 degrees. An isometric drawing is a type of pictorial representation in which all three dimensions of an object are shown, with the axes usually equally foreshortened to give a semi-three-dimensional perspective. As such, isometric drawings allow for a clear visualization of complex objects.
Graphs often utilize a two-dimensional Cartesian coordinate system, which is based on two straight lines (axes) that are perpendicular to each other. However, when extended to three dimensions, the Cartesian coordinate system includes an additional z-axis, which is also perpendicular to the x and y axes, thus forming a right angle with each other. These mutually perpendicular axes (x, y, z) facilitate the description and visualization of points in three-dimensional space.
The ability to accurately represent vectors and utilize the Pythagorean theorem to find the magnitude or length of resultant vectors in a Cartesian coordinate system is fundamental in mathematics and physics, allowing for the analysis of forces, velocities, and other physical quantities in two and three dimensions.