6. If 7, 7, and k are the standard unit basic vectors in 3-space, determine the value of k . (7 - 3 k ) + (7 - 4k) . (i- 4K) -87x-k|. (Simplify without using components). (3 marks) 7. Find the torque produced by a cyclist exerting a force of F = [70,30,160]N on the shaft- pedal d = [12,15,11]cm long. torque = Fxd (4 marks)the HD Wink. this page 5. Given points A(6,-2,1) B(0,5,6) and C(-3,-5,2) a) Find the vector equation of the line through A and B (1 mark) b) Find the distance from point C to line in part a) (3 marks) c) Determine the scalar equation of the plane containing points A, B, and C