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1.
If the sum of the two unit vectors is also a unit vector, then magnitude of their difference is
2.
A force 
(where 
is a positive constant) acts on a particle moving in the 
plane. Starting from the origin, the particle is taken along the positive 
-axis to the point (
) and then parallel to the 
-axis to the 
. The total work done by the force 
on the particle is
(where is a positive constant) acts on a particle moving in the plane. Starting from the origin, the particle is taken along the positive -axis to the point () and then parallel to the -axis to the . The total work done by the force on the particle is
3.
A projectile can have the same range 
for two angles of projection. If 
and 
be the times of flights in the two cases, then the product of the two times of flights is directly proportional to
for two angles of projection. If and be the times of flights in the two cases, then the product of the two times of flights is directly proportional to