Later in our study of physics we will encounter quantities represented by (A X 11) • C. (a) Prove that for any three vectors A, B, and C, A• (B X c) = (A X B) • C.
(b) Calculate (A X B) • C for the three vectors A with magnitude A = 5.00 and angle B A = 26.0° measured in the sense from the + x-axis toward the +y-axis, B with B = 4.00 and B. = 63.0°, and C with magnitude 6.00 and in the + z-direction. Vectors A and B are in the xy-plane.