Let ( a =i-2 j+3 k ) if ( b ) is a vector such that ( a b =| b |² ) and ( | a - b |= 7 ), then ( | b |= )

Step-by-step solution

Given that, a = i -2 j +3 k (1) a b =| b |² (2) and | a - b |= 7 (3) Now, | a |= 1+4+9 = 14 Squaring both sides of Eq. (3), we get | a |²+| b |²-2| a | b =7 14+| b |²-2| b |²=7 7=| b |² | b |= 7