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1.
A unit vector in 
-plane that makes an angle 
with the vector (
and an angle of 
with the vector (
, is
-plane that makes an angle with the vector ( and an angle of with the vector (, is
2.
Let 
be unit vectors inclined at an angle 
each other, then 
, if
be unit vectors inclined at an angle each other, then , if
3.
The cartesian from of the plane 
is
is
4.
If 
, the vector form of the component of 
is
, the vector form of the component of is
5.
A force 
acts at a point 
, whose position vectors is 
. The moment of 
about the origin is
acts at a point , whose position vectors is . The moment of about the origin is
6.
If 
are linearly independent vectors, then
are linearly independent vectors, then
7.
If 
and 
are perpendicular to 
and 
respectively and if 
, 
and 
then 
is equal to
and are perpendicular to and respectively and if , and then is equal to
8.
If are three mutually perpendicular vectors of equal magnitude, then the angle 
which 
makes with any one of three given vectors is given by
are three mutually perpendicular vectors of equal magnitude, then the angle which makes with any one of three given vectors is given by
9.
Forces 
act along 
and 
. If their resultant passes through 
on 
, then
act along and . If their resultant passes through on , then
10.
The centre of the circle given by 
and 
is
and is