Test 1 Try to solve the problems first and see if the answer you have chosen is correct. For detailed explanation click on Explain button. 1. Which of these coordinates is NOT a right handed system? c and d                 a and b                   Explain   2. Prove that the summation of square of direction cosines is 1. Solution 3. If the cartesian coordinates of point A are (6,6,7), what is the vector connecting point O to point A in the following figure: -6i - 6j - 7k           6i + 6j + 7k            Explain   4. If A=[2,3,4] and B=[6,4,1], then what is the vector connecting point A to point B 4i + j -3k                 4i + j +3k                Explain 5. Is the vector connecting point A to point B is the same as the vector connecting point B to point A? No               Yes              Not sure         6. If vector r is defined by  -3i+6j-k, what is the unit vector along r? -i + j - k               -0.442i   + 0.885 j - 0.147k               Explain ©This site is copyrighted by Simin Nasseri and the School of AMME, the University of Sydney (2003). All rights reserved.  Sydney University School of AMME