Class 10 Mathematics Unit 6 Vectors in Plane Unit Wise Class Test 2 | Punjab Board 2027 Model Papers
Class 10 Math Chapter 6 Test 2 Vectors in Plane
Class 10 Mathematics Unit 6 Vectors in Plane Unit Wise Class Test 2 is designed according to the Punjab Board 2027 Model Papers and the new paper pattern. This Class 10 Math Vectors in Plane Test provides objective and subjective questions for effective board exam preparation, covering important concepts of Unit 6: Vectors in Plane for Punjab Board students.
(i) A tank fires a shell with velocity vector V1 = 30i + 40j at a moving target heading east at V2 = 10i + 0j. Find relative velocity and its magnitude.
(ii) Use vector method, to show that the points A(1, 2), B(4, 6), C(7, 4) and D(4, 0) form a parallelogram.
(iii) A car enters a loop with velocity vector v = 30j and exits with velocity v′ = 30i. What is the change in velocity vector?
(iv) If A(1, 2), B(4, 6) and C(7, 2) are the vertices of triangle. Check whether triangle ABC is an isosceles.
(v) Find magnitude of the AB: A(9, 3), B(2, 11)
(vi) An aeroplane has airspeed Vp = 20i and there is a crosswind Vw = 50j. Find the resultant velocity and its magnitude.
3. The coordinates of A, B and D are (1, 2), (6, 3) and (2, 8) respectively. Find the coordinates of C by using vector method if ABCD is a parallelogram.
4. In parallelogram ABCD, the vectors representing two opposite sides are
Show that the opposite sides are equal in magnitude and parallel.
