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Unit Wise Class Test 3 | Unit 6: Vectors in Plane | Class 10 Mathematics | Punjab Board 2027 Model Papers
Class 10 Math Chapter 6 Test 3 Vectors in Plane
Unit Wise Class Test 3 – Unit 6: Vectors in Plane for Class 10 Mathematics is prepared according to the Punjab Board 2027 Model Papers and the new board paper pattern. This Class 10 Mathematics Unit 6 test includes objective and subjective questions covering vectors, magnitude of vectors, position vectors, unit vectors, quadrants, vector addition and subtraction, and related numerical problems. It is useful for students preparing for Punjab Board Mathematics 2027 examinations and chapter-wise class tests.
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Unit Wise Class Test
Test No. 3
Unit 6: Vectors in Plane
Time: 5 minutes
(Objective Type)
Total Marks: 5
1. Tick the correct answer.
(1 × 5 = 5)
(i) Which of the following is a vector quantity?
(ii) Magnitude of the vector
a⃗ = i⃗ + 2j⃗
is
|a⃗| =
(iii) If P(1, −1) and Q(−1, 1), then magnitude of
PQ⃗ is
|PQ⃗| =
(iv) If
a⃗ = 2i⃗ − j⃗,
b⃗ = −2i⃗ − j⃗,
then
a⃗ + b⃗ =
(v) If
a⃗ = 4i⃗ − 2j⃗,
then a vector having double the magnitude that of
a⃗ and same direction is:
Unit Wise Class Test
Test No. 3
Unit 6: Vectors in Plane
Time: 35 minutes
(Subjective Type)
Total Marks: 20
2. Write short answers to the following questions:
(6 × 2 = 12)
(i) If P(4, 7) and Q(5, 10), then find the magnitude of the vector
PQ⃗.
(ii) If
a⃗ = 3b⃗,
where
a⃗ = 9i⃗ − kj⃗
and
b⃗ = 3i⃗ − 12j⃗,
then find the value of k.
(iii) Name the quadrant in which each point lies.
(5, −4)
(iv) Find a unit vector in the direction of the vector given below:
a⃗ = −4i⃗ + 5j⃗.
(v) Find the magnitude of the
a⃗ if
a⃗ = −3i⃗ + 2j⃗.
(vi) If
b⃗ = i⃗ + 5j⃗
and
c⃗ = 3i⃗ + 5j⃗,
then find the magnitude of the following vector:
b⃗ − c⃗.
Note: Answer the following Questions.
(4 + 4 = 8)
3.
If
a⃗ = 5i⃗ − 7j⃗,
b⃗ = −i⃗ − j⃗
and
c⃗ = 2i⃗ + 3j⃗,
then find unit vector parallel to
a⃗ + b⃗ − 3c⃗.
4.
If
5i⃗ − 3j⃗ = m(i⃗ − 10j⃗) + n(4i⃗ − 3j⃗),
then find the values of m and n.
