FAST-NU Advanced Mathematics — Vectors
Vectors is part of the Advanced Mathematics section of FAST's BS CS/Engineering admission test (usually 50 of the 120 MCQs, 50% of the marks). It breaks into 4 subtopics, and we hold 45 FAST-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (4)
How Vectors is tested
Across the 7 FAST-pattern papers on ParhaiKrlo, Vectors accounts for 19 questions. It appears in all 7, about 2.7 questions a paper. The heaviest was FAST Past Paper 07, with 3 questions.
| Paper | Questions |
|---|---|
| FAST Past Paper 07 | 3 |
| FAST Past Paper 06 | 3 |
| FAST Past Paper 05 | 3 |
| FAST Past Paper 04 | 3 |
| FAST Past Paper 03 | 2 |
| FAST Past Paper 02 | 2 |
| FAST Past Paper 01 | 3 |
Vectors MCQs from the FAST-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · FAST Past Paper 07 · Vectors
A vector of magnitude 6 in the direction of 2i − j + 2k is:
- A.12i − 6j + 12k
- B.2i − j + 2k
- C.4i − 2j + 4k
- D.(2i − j + 2k)/6
Show answer
Answer: C. 4i − 2j + 4k — |2i − j + 2k| = 3, so the unit vector is (2i − j + 2k)/3. Multiply by 6: 4i − 2j + 4k.
- Q2 · FAST Past Paper 06 · Vectors
If A is the point (1, 2, 3) and B is the point (4, 6, 3), then the magnitude of AB is:
- A.7
- B.5
- C.25
- D.√7
Show answer
Answer: B. 5 — AB = 3i + 4j + 0k, so |AB| = √(9 + 16) = 5.
- Q3 · FAST Past Paper 05 · Vectors
Two vectors are equal if and only if they have:
- A.the same magnitude only
- B.the same direction only
- C.the same magnitude and the same direction
- D.the same initial point
Show answer
Answer: C. the same magnitude and the same direction — Equal vectors have the same magnitude and the same direction, wherever they start.