CBSE CLASS XII
Q. 1. Find a vector in the direction of vector that has magnitude 7 units.
Q. 2. Show that the points A, B and C with position vectors, respectively, form the vertices of a right angled triangle.
Q. 3. Find
, if two vectors are such that .
Q. 4. Find the area of the parallelogram whose adjacent sides are determined by the vectors
Q. 6. Let,and be three vectors such that and each one of them being perpendicular to the sum of other two, Find
Q. 8. The scalar product of the vector with a unit vector along the sum of vectors Find the value of l.
Q. 9. If the sum of two unit vectors is a unit vector, Prove that the magnitude of their difference is .
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 a, b, with OX, OY and OZ respectively, prove that sin2a+sin2b+sin2γ =2.
Q. 16. If
Prepared By Anil Kumar Tondak