5. What is the physical meaning of dot product? Why dot product of two vector will always provide you a scalar? (2) 6. The position of an object moving along an x axis is given by x = 2t + 4t' - to, where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 2 s, (b) 3 s, and (c) 4 s. (d) What is the object's displacement between t = 0 and t = 4 s? (e) What is its velocity at the time, t = 3 s? (2) 7. Two vectors are given by a = 2.01 - 5.0j and b = 3.01 + 6.0j. Find (a) axb", (b) a". b', (c) (a" + b") . b", and (d) the component of a" along the direction of ". (2) 8. A sliding block of mass M=5 kg is connected to the hanging block of M mass m=2.5 kg over the pulley by a rope (Fig. 1). Assume that the masses of the pulley and rope are negligible. The hanging block falls as the sliding block accelerates to the right direction horizontally. a) Draw the force body diagram for each block. b) Find the tension in the rope. Fig. 1 c) If the hanging is falling, What about the acceleration of sliding block, M, is it same or different? (2)