Given the vectors a⃗ and b⃗ shown in the figure ((figure 1) ), determine the magnitude of b⃗ −a⃗. a is 28 degrees above the positive x-axis and is 44m long, and b is 56 degrees above the negative x-axis and is 26.5m long

To answer this problem, we are given with two vectors. We translate these into angle form such that the mode complex in the calculator fits in the computation. We input 44<28 + 26.5< (180-56). The answer from the calculator is 48.93< 60.59. The magnitude is 48.93 pointing to the direction of 60.59 degrees above the x axis.

Answer and explanation:

Geometary software is merely a software implementation of solving the area of a triangle. Therefore geometry software employs all the methods used in coordinate algebra(manual) albeit behind the scenes, in the console of the software, and just displays the area in the screen after solving. While geometry software displays the area using automated methods in code, coordinate algebra solves area of the triangle manually using several steps. In both cases, we observe that algebra is required to solve area of the triangle as it is part of the algorithm used in the code for the geometry software. Also being able to use the geometry software requires that one understand coordinate algebra to be able to plot lines, points and planes at the correct locations on the screen and get desired result.