| Category | Assignment | Subject | Engineering |
|---|---|---|---|
| University | Wawasan Open University | Module Title | TEE106/03 Basic Electromagnetic Theory |
| Assessment Title | Assignment 1 |
|---|
| Deadline | 5th October 2025 before 11:59:59pm. |
This is an individual Assignment. No duplication of work will be tolerated. Any plagiarism or collusion may result in disciplinary action, in addition to a zero mark being awarded to all involved
You are to submit online of your answers online in the OAS system, and it is your responsibility to submit your Assignment correctly and timely. The OAS system doesn’t allow resubmission of the Assignment. Marks will be awarded for correct working steps and answers
The total marks for Assignment 1 are 100, and it contributes 25% towards the total grade.
Assignment 1 covers the topics in Unit 1.
Assignment 1 has to be done individually. Answer all questions in English.
Your Assignment must be word processed (single spacing) and clearly laid out. Any additional appendices or attachments must be placed at the end of the submitted document and must be referred to in the main body of the Assignment, or it will not be read by the marker. Marks will be deducted from handwritten and/or photo snapshot assignments.
All files or documents submitted must be labeled with your WOU ID and name.
The use of Turnitin is not necessary for this Assignment.
| Find the unit vector along the line joining point (2, 4, 4) to point (-3, 2, 2). | (4 marks) |
| Let A = 2ax + 5ay – 3az, B = 3ax – 4ay, and C = ax + ay + az. | |
| i. Determine A + 2B. | (2 marks) |
| ii. Calculate . | (3 marks) |
| iii. Find (A × B)/(A · B). | (6 marks) |
| If A = 2ax + ay – 3az, B = ay – az, and C = 3ax + 5ay + 7az. | |
| i. A – 2B + C. | (2 marks) |
| ii. C – 4(A + B). | (3 marks) |
| If the position of vectors of point T = 3ax – 2ay – az and point S = 4ax + 6ay + 2az, find: | |
| i. The coordinates of T and S. | (2 marks) |
| ii. The distance vector from T to S. | (2 marks) |
| iii. The distance between T and S. | (2 marks) |
| If A = 5ax + 3ay – 2az, B = -ax + 4ay + 6az, and C = 8ax + 2ay, find the values of α and β such that αA + βB + C is parallel to the y-axis. | (8 marks) |
| Show that (A · B)2 + (A × B)2 = (AB)2. | (6 marks) |
| (a) | Calculate the angles that vector H = 3ax + 5ay – 8az makes with the x-, y-, and z-axes. | (6 marks) |
| (b) | Find the triple scalar product of P, Q, and R, given that
P = 2ax – ay + az |
(6 marks) |
| (c) | Simplify the following expression. | |
| i. A × (A × B). | (4 marks) | |
| ii. A × [A × (A × B)]. | (4 marks) |
| (a) | Express the following points in Cartesian coordinates: | |
| i. P(1, 60°, 2). | (4 marks) | |
| ii. Q(2, 90°, -4). | (3 marks) | |
| iii. T(4,/2,/6). | (8 marks) | |
| (b) | Express the point P(1, -4, -3) in cylindrical and spherical coordinates. | (5 marks) |
| (a) | Transform the following vectors into cylindrical and spherical coordinates: | |
| i. D = (x + z)ay. | (8 marks) | |
| ii. E = (y2 – x2)ax +xyzay + (x2 – z2)az. | (12 marks) |
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