Intermediate Mechanics: Matrices, Vectors, and Vector Calculus

[Shackleford]

We're in the first chapter - Matrices, Vectors, and Vector Calculus. I'm not sure why I'm having trouble. I got an A in Vector Analysis in the spring. I think some of the notation is throwing me off for some reason.

I know a bold letter represents a vector, but what about the italicized letter? Is it the norm of the vector or simply a scalar? Please, check my notation carefully and my work. I apologize for the blurry picture. I'm having to use my camera phone right now as I haven't moved my multi-function printer to the new house.

26. Haven't got a damn clue.

http://i111.photobucket.com/albums/n149/camarolt4z28/q26.jpg?t=1282967742

http://i111.photobucket.com/albums/n149/camarolt4z28/26bc.jpg?t=1282967403

http://i111.photobucket.com/albums/n149/camarolt4z28/26.jpg?t=1282967514

28. I think I'm close to the right solution, but I still need clarification on some things.

31. I started (a) and (c).

http://i111.photobucket.com/albums/n149/camarolt4z28/31.jpg?t=1282967605

http://i111.photobucket.com/albums/n149/camarolt4z28/q28.jpg?t=1282967285

http://i111.photobucket.com/albums/n149/camarolt4z28/2831a.jpg?t=1282966751

http://i111.photobucket.com/albums/n149/camarolt4z28/31c.jpg?t=1282966772

 

[NateD]

The italicized letter is typically a scalar. In your question 26, it's the magnitude of the vector. For question 28, you need to calculate the components of the vector in the x and y directions in order to find the magnitude and angle.For question 31, (a) looks correct, but you are missing the rest of the vector equation in (c). The vector equation should be:v = a + b + cwhere a, b, and c are the components of the vector in the x, y and z directions respectively.