Calculate the size of projection of vector 1 onto vec Calculate the size of projection of vector 2 onto vec v, =31. V = [31]

(a) Suppose you know the coordinates of two points A and B. How do you determine the scalar components of the position vector of point B relative to point A? (b) During the construction of a bridge, a bracket shown in Figure 1 was used to temporarily hold two cables FA and Fg = 600 N. After a while, you noticed that the bracket is shaking and slowly being pulled out of the wall by the cables. Given that e = 20°, find the resultant force and its direction counter clockwise from the positive y axis. FA 700 N 30 A Figure 1

A point P is located at (0 0 100) in a body coordinate frame. If the rigid body rotates 60deg about the global X-axis and the origin of the body translates to (X, Y, Z)=(500, 0 600), find the final position (X2, Y2, Z2) in the Global frame by using 4X4 matrix.

if a and b are vectors given by a = (î- 3ĵ+ 5k) and b = (2î+ 4ĵ + 6k), find a. a+b b. a - b c. a - b (the dot product of a and b or "a dot b")