Q. 25.0( 1 Vote )
Write a unit vector in the direction of the sum of the vectors 
and 
Answer :
The sum of vectors is
Let the unit vector in the direction of 
be 
, then
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Find the sum of the following vectors:
Prove that in any triangle ABC, 
where a, b, c are the magnitudes of the sides opposite to the vertices A, B, C, respectively
Find the sum of the following vectors:
Find a unit vector perpendicular to each of the vectors 
and 
where 
and 
Write a unit vector in the direction of the sum of vectors 
and 
Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are 
and 
respectively, externally in the ratio 1 : 2. Also, show that P is the mid-point of the line segment RQ.
Write a unit vector in the direction of the sum of the vectors 
and
If 
and 
then find the value of λ, so that 
and 
are perpendicular vectors.
Write the position vector of the point which divides the join of points with position vectors 
and 
in the ratio
2:1.
Find the sum of the vectors 
and 
