CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr. Anil Kumar Tondak CBSE CLASS XII Vector Algebra Q. 1. Find a vector in the direction of vector Q. 2. Show that the points A, B and C with position vectors, Q. 3. Find Q. 4. Find the area of the parallelogram whose adjacent sides are determined by the vectors Q. 5. If a unit vector Q. 6. Let Q. 7. Find the value of Q. 8. The scalar product of the vector Q. 9. If the sum of two unit vectors is a unit vector, Prove that the magnitude of their difference is Q. 10. If Q. 11. Prove that the line segment joining the mid-points of two sides of a triangle is parallel to the third side and equal to half of it. Q. 12. ABCD is a parallelogram. If the coordinates of A, B, C are (-2, -1), (3, 0) and (1, -2) respectively, Find the co-ordinate of D. Q. 13. Show that the points A, B, C with position vectors Q. 14. If a vector makes Q. 15. If Q. 16. If Q. 17. If Q. 18. Consider two points P and Q with position vectors Q. 19. Find a unit vector perpendicular to each of the vectors Q. 20. Show that the vectors 2 i – j + k , i– 3 j – 5 k and 3 i – 4 j – 4 k form the vertices of a right angled triangle Q. 21. Paper By Mr. Anil Kumar Tondak |