Important Questions

CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr. Kalpesh

CBSE CLASS XII

Q. 1. Find a vector in the direction of sum of the vectors  and  that has a magnitude of 7 units.

Q. 2. Find a unit vector perpendicular to each of vectors and , where  ,  .

Q. 3. If , ,  and  are the position vectors of points A , B , C and D respectively , then find the angle between and  . Deduce that  and  are collinear.

Q. 4. If   and  then express in the form  , where  is parallel to  and  is perpendicular to   .

Q. 5. A girl walks  km towards west,  then she walks  km in a direction of  east of north and stops . Determine the girl’s displacement from her initial point of departure.

Q. 6. Let ,and  be three vectors such that  , , and each one of them being perpendicular to the sum of the other two, Find .

Q. 7. If ,prove that .

Q. 8. If  the find the value of .

Q. 9. Solve the equation : .

Q. 10. If , then find the value   .

Paper By Mr. Kalpesh
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