AB , AC and AD are three adjacent edges of a parallelopiped . The diagonal of the parallelopiped passing through A and directed away from it is vector 
. The vector area of the faces containing vertices A , B , C and A , B , D are 
respectively i.e. 
= 
and 
. If projection of each edge AB and AC on diagonal vector 
is 
, then find the vectors 
and 
in terms of 
and 
.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
; 
= 
+ 
+ 
; 
= 
+ 
– 
Sol.
......(i)
i.e. 
i.e. 
∴ 
∴ 
∴ 
..........(ii)
∴ 
∴ 
........(iii)
from (i) , (ii) and (iii), we get 
Now from (ii) and (iii), we can easily find 
and 
= 
+ 
+ 
; 
= 
+ 
– 
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