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Class 10 Mathematics Chapter 6 Test 1 | Vectors in Plane | Punjab Board New Syllabus 2027

Class 10 Math Chapter 6 Test 1 Vectors in Plane

Class 10 Mathematics Chapter 6 Test 1 – Vectors in Plane is prepared according to the Punjab Board New Syllabus 2027 and the latest board-style paper pattern. This Class 10 Math Chapter 6 Test 1 covers important concepts and questions from Vectors in Plane to help students prepare for Punjab Board examinations and chapter-wise mathematics tests.

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Unit 06:

Total Time: 35 min
CHAPTER WISE CLASS TEST
(Test # 1)
Mathematics

Total Marks: 25
1 A B C D
2 A B C D
3 A B C D
4 A B C D
5 A B C D
6 A B C D
7 A B C D
8 A B C D
NOTE: Four possible answers A, B, C and D to each question are given. The choice which you think is correct, fill that circle in front of that question with Marker or Pen ink. Cutting or filling two or more circles will result in zero mark in that question.
TIME: 10 Min
OBJECTIVE
MARKS: 8
Q.1: (8)
1. What is the value of |3i + 4j|?
(A) 3
(B) 4
(C) 5
(D) 7
2. If OA = a, OB = b, then AB:
(A) b − a
(B) a − b
(C) a + b
(D) b + a
3. Sum of two vectors is:
(A) a triangle
(B) a vector
(C) a scalar
(D) a length
4. An example of scalar quantity is:
(A) Mass
(B) Force
(C) Acceleration
(D) Velocity
5. A vector whose initial point is origin O (0,0) is:
(A) Null vector
(B) Unit vector
(C) Position vector
(D) None
6. The position vector of point P(-1,4) with respect to O (0,0) is:
(A) −i + 4j
(B) i − 4j
(C) −i − 4j
(D) i + 4j
7. If two sides of triangle represent vectors u and v in order, the third side represents:
(A) u − v
(B) u / v
(C) u + v
(D) |u + v|
8. If a = −i + j and b = 2i + 2j, then a + b = __________.
(A) −i + 3j
(B) i + 3j
(C) 3i + 3j
(D) −3i + 3j
TIME: 25 Min
SUBJECTIVE
MARKS: 17
(PART – I)
Q.2 Write short answers to following questions. (6×2=12)
(i) Check that the vectors u = 8i + 4j and v = 2i + j are parallel or not.
(ii) Find unit vector opposite in direction of u = 3i − 2j.
(iii) If a = 4i − j and b = −3i + 5j, then find 3b + 4a.
(iv) If u = i + 5j and v = 6i − j, then find v − 2u.
(v) Define a translation vector.
(vi) If AB = 4i − 5j and DC = 4i − yj are two Parallel and opposite sides a parallelogram, then what is the value of y?
(PART – II)
Note: Attempt the following question. (5)
Q.3: Show that a = 5i − 2i and b = −10i + 4j are parallel.

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