Example 1-3-2 - Maple Help



Chapter 1: Vectors, Lines and Planes



Section 1.3: Dot Product



Example 1.3.2



If  and ,

 a) Obtain $\mathbf{A}·\mathbf{B}$
 b) Obtain $\mathrm{θ}$, the angle between A and B
 c) Verify that ${∥\mathbf{A}∥}^{2}=\mathbf{A}·\mathbf{A}$
 d) Obtain the scalar projection of B on A
 e) Obtain the vector projection of B on A
 f) Obtain the component of B orthogonal to A
 g) For A, obtain direction cosines, angles, and numbers.