Answer:
Step-by-step explanation:
Linear algebra and trigonometry are important mathematical tools used in geometric engineering.
Linear algebra is important in geometric engineering because it provides a powerful tool for analyzing and solving systems of linear equations, which are frequently used to describe geometric relationships and transformations. For example, linear algebra is used to study the properties of lines and planes, to describe the transformations that occur when an object is translated, rotated, or scaled, and to model the deformation of objects under load.
Trigonometry, on the other hand, is important in geometric engineering because it provides a way to describe and understand the relationships between lengths and angles. This is particularly important in surveying and mapping, where angles and distances must be accurately measured and analyzed to produce accurate maps and models of the earth's surface. Trigonometry is also used to calculate the lengths and angles of triangles, which are basic building blocks for many geometric objects and figures.
In summary, linear algebra and trigonometry are essential tools in geometric engineering because they provide a way to describe and analyze the geometric relationships and transformations that are central to the field.