If a = i + j + k , b = i - j + k , c = i + j - k and d = i - j - k , then observe the following The correct match of List-I to List-II array llll i & ii & iii & iv array

Step-by-step solution

Given vectors are aligned a = i + j + k , b & = i - j + k , c = i + j - k and d & = i - j - k aligned and d = i - j - k (i) Now, aligned a b & =( i + j + k ) ( i - j + k ) & =1-1+1=1 b d & =( i - j + k ) ( i - j - k ) & =1+1-1=1 a b & = b d aligned (ii) (ii) Now, aligned b c & =( i - j + k ) ( i + j - k ) & =1-1-1=-1 a d & =( i + j + k ) ( i - j - k ) & =1-1-1=-1 b c & = a d aligned (iii) aligned [ array ll a b c array ] & = | array rrr 1 & 1 & 1 1 & -1 & 1 1 & 1 & -1 array | & =1(1-1)-1(-1-1)+1(1+1) & =0+2+2=4 ali