Solution:
Given,[Equation]=2î - ĵ -mƙ and b = 4/7î -2/7ĵ +2ƙ
[Equation]= λ[Equation] for some scalar λ
4/7î -2/7 ĵ -2ƙ= λ(2î - ĵ -mƙ)
4/7î -2/7 ĵ -2ƙ=λ2î -λ ĵ -mλƙ
4/7= 2λ,-2/7= -λ, 2λ= -mλ
Now we will find the value of λ
4/7= 2λ
λ= 4/7*2
λ=2/7
Substituting the value of λ
2=-m 2/7
2*-7/2=m
∴ m= -7
hence , option 3 is the correct answer.
Type- CBSE
Subject- Mathematics
Chapter- Real number
Topic- Introduction to real number
Sub topic- Introduction to real number