(a) The position vectors of the points A and B are given by OA= 3i – 2j + 2k, OB = -i+ j+ 3k, where O is the origin. Find a vector equation of the straight line passing through A and B. Given that this line is perpendicular to the vector i+ 2j+ pk , find the value of p. (b) The points A and B have coordinates ( 2,3,-1) and (5,-2,2) respectively. Calculate the acute angle between OA and OB where O is origin, give your answer correct to the nearest degree

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