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?

righthanded.jpg (13663 bytes)

  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:

rectangular.gif (2844 bytes)

-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?

unit.jpg (7486 bytes)

-i + j - k               -0.442i   + 0.885 j - 0.147k               Explain

 

 

 

ŠThis site is copyrighted by Simin Nasseri and the School of AMME, the University of Sydney (2003). All rights reserved.

sulogo.jpg (8055 bytes) ammelogo.jpg (6442 bytes)
Sydney University School of AMME