The scalar product of the vector 
ˆ
ˆ
ˆ
i
j
k
+
+
 with a unit vector along the sum of
vectors 
ˆ
ˆ
ˆ
2
4
5
i
j
k
+
−
 and 
ˆ
ˆ
2ˆ
3
i
j
k
λ +
+
 is equal to one Find the value of λ 14 If ,
a b, c
r r
r
 are mutually perpendicular vectors of equal magnitudes, show that
the vector a
b
c
+
r+
r
r  is equally inclined to ,
and
a
b
c
r
r
r