10th class Mathematics, Chapter 6: Vectors in Plane MCQs

1. x-axis and y-axis divide a coordinate plane into ______ parts.

1. (A) one
2. (B) two
3. (C) three
4. (D) four ✓

2. P(4, −4) lies in ______ quadrant.

1. (A) first
2. (B) second
3. (C) third
4. (D) fourth ✓

3. A vector having magnitude 1 is called:

1. (A) equal vector
2. (B) parallel vector
3. (C) unit vector ✓
4. (D) zero vector

4. What is the value of |3i + 4j|?

1. (A) 3
2. (B) 4
3. (C) 5 ✓
4. (D) 7

5. If a = λb, then a and b are:

1. (A) equal
2. (B) parallel ✓
3. (C) perpendicular
4. (D) non-parallel

6. If OA = a and OB = b, then AB is:

1. (A) b − a ✓
2. (B) a − b
3. (C) a + b
4. (D) b + a

7. A translation vector shows:

1. (A) deformation
2. (B) rotation
3. (C) movement ✓
4. (D) enlargement

8. The sum of two vectors is:

1. (A) a triangle
2. (B) a vector ✓
3. (C) a scalar
4. (D) a length

9. The position vector of the point P(3, −2) with respect to O is:

1. (A) 3i + 2j
2. (B) 3i − 2j ✓
3. (C) −3i + 2j
4. (D) 2i − 3j

10. The vector from the point P(3, 4) to the origin is:

1. (A) 3i + 4j
2. (B) −3i + 4j
3. (C) −3i − 4j ✓
4. (D) 3i − 4j

11. The point (−3, 5) lies in the quadrant:

1. (A) IV
2. (B) II ✓
3. (C) I
4. (D) III

12. The point (2, −7) lies in the quadrant:

1. (A) I
2. (B) II
3. (C) III
4. (D) IV ✓

13. The coordinates of the origin are:

1. (A) (1, 1)
2. (B) (0, 1)
3. (C) (1, 0)
4. (D) (0, 0) ✓

14. In the ordered pair (x, y), x is called the:

1. (A) origin
2. (B) axis
3. (C) x-coordinate ✓
4. (D) y-coordinate

15. Which of the following is a scalar quantity?

1. (A) displacement
2. (B) mass ✓
3. (C) velocity
4. (D) force

16. Which of the following is a vector quantity?

1. (A) power
2. (B) force ✓
3. (C) time
4. (D) volume

17. A quantity having both magnitude and direction is called a:

1. (A) vector ✓
2. (B) scalar
3. (C) number
4. (D) point

18. In the vector AB, the point A is called the:

1. (A) terminal point
2. (B) origin only
3. (C) midpoint
4. (D) initial point ✓

19. A vector that has the same magnitude as a but opposite direction is called:

1. (A) the negative of a ✓
2. (B) a unit vector
3. (C) a zero vector
4. (D) an equal vector

20. A vector whose initial and terminal points coincide is called:

1. (A) a zero (null) vector ✓
2. (B) a unit vector
3. (C) a position vector
4. (D) a negative vector