6. Explain the meanings of the terms linearly dependent and coplanar. Make sure you demonstrate that you understand the difference between the terms and the situation in which linear dependency implies coplanarity. (4 marks) 7. Determine if the vectors [2, 4, -1], [8, -10, 5], and [5, -3, 2] are coplanar. (4 marks) 8. Give examples of sets of three vectors that are (3 marks) a. Collinear b. Coplanar c. Not coplanar Explain your reasoning. 9. Explain how you would prove if four given points are coplanar. Use your method to determine if A(3, 4, -2), B(8, 5, 0), C(1, 10, -6), and D(9, 2, 2) are coplanar. (4 marks) 10. Determine if the following vectors are coplanar. Assume that vi, v2, and v3 are not coplanar. (4 marks) W1 = 2v1 + 702 W2 = 12 + 203 W3 = -VI - 7v3