NDA || Mathematics || Coordinate Geometry || Vectors || Quiz 2020

If and then what is the value of ?

A force is applied at the point (1, -1, 2). What is the moment of the force about the point (2, -1, 3)?

For any vector  is equal to

A force  acts on a particle to displace it from the point  to the point  The work done by the force will be

If  and  are two unit vectors, then the vector  is parallel to

Two boats leave a port at the same time. One travels 60km in the direction N 50⁰ E while the other travels 50km in the direction S 70⁰ E . What is the distance between the boats?

What is the moment about the point  of a force represented by  acting through the point ?

Let  and  be the position vectors of the points P and Q respectively with respect to origin O. The points R and S divide PQ internally and externally respectively in the ratio 2 : 3. If  and  are perpendicular, then which one of the following is correct?

If  and  are vectors such that  and  then what is the acute between  and   ?

Let  is a unit vector which makes an angle of with vector  and an angle of  with the vector  . Find possible values of

Let  be three non-zero vectors which are pairwise non-collinear. If  is collinear with  and  is collinear with  , then  is