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1.
If 
are three mutually perpendicular vectors each of magnitude unity, then 
is equal to
are three mutually perpendicular vectors each of magnitude unity, then is equal to
2.
is equal to
is equal to
3.
If 
then 
is equal to
then is equal to
4.
Let 
be a unit victor perpendicular to and coplanar with and 
then 
is
be a unit victor perpendicular to and coplanar with and then is
5.
The plane through the point 
and containing the line of intersection of the planes 
and 
is
and containing the line of intersection of the planes and is
6.
If a parallelogram is constructed on the vectors 
and 
and the angle between 
is 
, then the ratio of the lengths of the sides is
and and the angle between is , then the ratio of the lengths of the sides is
7.
Let be the position vectors of the vertices 
respectively of 
. The vector area of is
be the position vectors of the vertices respectively of . The vector area of is
8.
The work done in moving an object along a vector 
if the applied force is 
is
if the applied force is is
9.
is equal to
is equal to
10.
If 
are non-coplanar vectors, then 
is equal to
are non-coplanar vectors, then is equal to