Solution
Step 1: Area of parallelogram
Area of parallelogram formed by
A
and
B
is given by
Area=∣
A
×
B
∣
Step 2: Cross -Product
A
×
B
=
∣
∣
∣
∣
∣
∣
∣
∣
i
^
3
−3
j
^
2
7
k
^
0
0
∣
∣
∣
∣
∣
∣
∣
∣
=
i
^
(0−0)−
j
^
(0−0)+k(21+6)=27
k
^
∴∣
A
×
B
∣=27 sq.unit
Hence the area of a parallelogram is 27 sq unit