NATIONAL OPEN UNIVERSITY OF NIGERIA
14/16 AHMADU BELLO WAY, VICTORIA ISLAND, LAGOS
SCHOOL OF SCIENCE AND TECHNOLOGY
MARCH/APRIL 2014 EXAMINATION
COURSE CODE: MTH 303
COURSE TITLE: VECTORS AND TENSORS
TIME ALLOWED: 3 HOURS
INSTRUCTION: ANSWERS ANY 4 QUESTIONS
1.(a) Given that , , . Find the magnitude of
(i) (ii) 10 marks
(b) Evaluate each of the following (i) (ii) 7 ½ marks
2. (a) Determine a unit vector perpendicular to the plane of and 10 marks
(b) If and .Find (i) 7 ½ marks
3 .(b) Show that is a conservative force field 10 marks
(c) Given find (i) (ii) 7 ½ marks
4.(a) Find the unit tangent vector to the curve 10 marks
(b) If A and B are differentiable function of a scalar prove 7 ½ marks
5. (a) If ,find at the point (1,-1,1) 7 ½ marks
(b) Given .(i)Find (ii) Show ,where
denotes the laplacian 10 marks
6. (a) Prove ,where F and G are differentiable scalar function of 10 marks
(b) Find if (i) (ii) 7 ½ marks
You can get the exam summary answers for this course from 08039407882
Check anoda sample below
