How would one answer the following vector questions?

3. Given a = [1, -3,6] and b = [4,-5,-2], determine: (4 marks) a. a x b and verify that it is perpendicular to both a and b. b. A vector c' such that a'. ( b x c ) = 0. What is the relationship between the vectors a, b , and c in this case, and why? Verify this. 9. Charlie is trying to hold on to his toy fire truck. His brother Noah is pulling with a force of 8 N on a bearing of 023 and his brother Jude with a force of 5 N on a bearing of 155. What force does Charlie need to exert to keep the toy in equilibrium? (6 marks)