The sides of a parallelogram are represented by vectors p =5 i -4 j +3 k and q =3 i +2 j - k Then, the area of the parallelogram is

Step-by-step solution

Area of a parallelogram =| a b | where, a and b are sides of parallelogram. aligned & Given, a = p =5 i -4 j +3 k & and b = q =3 i +2 j - k & a b = | array ccc i & j & k 5 & -4 & 3 3 & 2 & -1 array | & a b = i (4-6)- j (-5-9)+ k (10+12) & a b =-2 i +14 j +22 k & aligned Thus, | a b |= (2)^2+(14)^2+(22)^2 = 684 sq units