If i , j , k are unit vectors along the positive direction of x , y and z -axes, then a false statement in the following is

Step-by-step solution

Given, i , j , k are unit vectors along the positive direction of x, y and z -axes, then (a) i ( j + k ) aligned &= i ( j + k )+ j ( k + i )+ k ( i + j ) &= k - j + i - k + j - i &=0 aligned (b) i ( j k )= i ( j k )+ j ( k i ) aligned &+ k ( i j ) & k ) aligned aligned &=( i i )+( j j )+( k k ) &=0+0+0 &=0 aligned (c) i ( j k )= ( i i )= (1) =1+1+1=3 (d) i ( j + k )= ( i j + i k ) = (0+0)=0