If and Find a vector such that and
Here , Let Now, ...(1) x - z = 1 ...(2) x - y = 1 ...(3)Also, ...(4)From (1), y = z from (4), we get, ...(5)Subtracting (3) from (5), we get,
Let and . Find a vector which is perpendicular to both
Let vectors be such that then is a unit vector, if the angle betweeen is
If is the angle between any two vectors then when is equal to
0
Long Answer Type
in the form 
in the form 
Short Answer TypeLong Answer Type
being a right-handed orthogonal system of unit vectors in space. Show that 
in another such system.
Short Answer Type
Multiple Choice Questions
and 
Find a vector 
such that 
and 
...(1)
...(4)
from (4), we get,
...(5)
Switch
and 
. Find a vector 
which is perpendicular to both 
are unit vectors, Suppose that 
and the angle between B and C is 
Prove that 
be such that 
then 
is a unit vector, if the angle betweeen 
is 
then 
when 
is equal to 
