1. A quantity that has both magnitude and direction is called a
Answer: B. vector
Mathematics Class 10 Unit 7: Vectors in Plane MCQs
35 multiple choice questions with the correct answer for each. Tap an option to check yourself, or switch on "Show all answers".
Tap an option to check your answer.
2. Which of the following is a vector quantity?
Answer: D. velocity
3. Which of the following is a scalar quantity?
Answer: C. speed
4. A vector is represented geometrically by a
Answer: A. directed line segment
5. The position vector of the point P(3, 4) is
Answer: B. 3i + 4j
6. The magnitude of the vector <3, 4> is
Answer: A. 5
7. The magnitude of the vector 5i − 12j is
Answer: D. 13
8. The magnitude of the vector <−6, 8> is
Answer: C. 10
9. The magnitude of the vector 2i is
Answer: D. 2
10. If A(1, 2) and B(4, 6), then the vector AB is
Answer: A. <3, 4>
11. If A(1, 2) and B(4, 6), then the magnitude of AB is
Answer: C. 5
12. If A(2, 3) and B(5, 7), then the vector BA is
Answer: B. <−3, −4>
13. If u = <1, 2> and v = <3, 4>, then u + v is
Answer: D. <4, 6>
14. If u = <1, 2> and v = <3, 4>, then v − u is
Answer: A. <2, 2>
15. If u = <2, −1>, then 3u is
Answer: C. <6, −3>
16. If u = <2, −1>, then −u is
Answer: B. <−2, 1>
17. If u = 2i + 3j and v = i − j, then u + v is
Answer: A. 3i + 2j
18. If u = 2i + 3j and v = i − j, then u − v is
Answer: B. i + 4j
19. If u = 3i + 4j, then 2u is
Answer: C. 6i + 8j
20. The zero vector has magnitude
Answer: D. 0
21. A vector whose magnitude is 1 is called a
Answer: C. unit vector
22. The unit vector in the direction of <3, 4> is
Answer: B. <3/5, 4/5>
23. Two vectors are equal if they have the same
Answer: D. magnitude and direction
24. Two non-zero vectors are parallel if one is a
Answer: A. scalar multiple of the other
25. The vectors <2, 4> and <1, 2> are
Answer: D. parallel
26. The vectors i = <1, 0> and j = <0, 1> are
Answer: C. unit vectors along the axes
27. The negative of a vector has
Answer: A. the same magnitude and opposite direction
28. In the triangle law of vector addition, AB + BC equals
Answer: B. AC
29. For any points A and B, AB + BA equals
Answer: B. the zero vector
30. If P is the midpoint of AB, then the position vector of P is
Answer: D. (a + b)/2
31. The midpoint of the points with position vectors <2, 4> and <6, 8> is
Answer: C. <4, 6>
32. The vector from the origin O to a point P is called the
Answer: A. position vector of P
33. If the vector <k, 6> has magnitude 10 and k > 0, then k equals
Answer: A. 8
34. A translation by the vector <2, 3> moves the point (1, 1) to
Answer: B. (3, 4)
35. If u = <a, b>, then the magnitude of u is
Answer: D. √(a² + b²)
About Mathematics Class 10 Unit 7 MCQs (Federal Board)
These 35 Mathematics MCQs cover Class 10 Unit 7: Vectors in Plane of the Federal Board (FBISE) SSC-II (Class 10) syllabus. They are SLO-based MCQs as per the new pattern for FBISE exams. Each question has four options and the correct answer is shown, so you can practise for the annual examination and find the topics you still need to revise. Download the Vectors in Plane MCQs as a PDF using the button at the top of this page.