Vector Manipulation: Live Written Corrections

This lecture focuses on the live written correction of exercises related to vector manipulation and mathematics. The instructor begins by introducing the concept of vectors in both 2D and 3D, explaining how to express them in Cartesian coordinates. The lecture covers the computation of Cartesian coordinates for various force vectors, including their magnitudes and angles using trigonometric functions. The instructor emphasizes the importance of using the correct calculator settings for accurate results. The exercises include calculating the Cartesian coordinates of forces, determining their magnitudes, and computing angles using tangent functions. The lecture progresses to analytical expressions for resultant forces and their graphical evaluations. The instructor also demonstrates numerical applications, reinforcing the concepts learned through practical examples. The session concludes with scalar components of vectors and their projections onto different axes, providing a comprehensive overview of vector manipulation techniques essential for students in the field.