a
b
=
×
r
r
We now state two important properties of vector product Property 3 (Distributivity of vector product over addition): If ,
a band
c
rr
r
are any three vectors and λ be a scalar, then
(i)
(
)
a
b
c
×
r+
r
r  = a
b
a
c
 
 
r
r
r
r
(ii)
(
λa b)
×
r
r
 = (
)
(
)
a
b
a
b
λ
×
=
× λ
r
r
r
r
Fig 10 26
 Fig 10 27
© NCERT
not to be republished
 MATHEMATICS
452
Let 
aand
rb
r
 be two vectors given in component form as 
1
2
3 ˆ
ˆ
ˆ
a i
a j
a k
+
+
and
1
2
3 ˆ
ˆ
ˆ
b i
b j
b k
+
+
, respectively