If a= 2 î- ĵ – mƙ and b = 4/7î -2/7ĵ +2ƙare collinear, then find the value of m

# If a= 2 î- ĵ - mƙ and b = 4/7î -2/7ĵ +2ƙare collinear, then find the value of m

1. A
-8
2. B
-1
3. C
-7
4. D
-2

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### 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

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