Math, asked by dabbiru9411, 17 hours ago

If r=3i+2j-5k a=2i-j+k b=i+3j-2k c=-2i+j-3k such that r=la+mb+nc then

Answers

Answered by AoiKanzaki
0

Answer:

A.P

Step-by-step explanation:

(3,2,−5)=λ(2,−1,1)+μ(1,3,−2)+γ(−2,1,−3)

3=2λ+μ−2γ

2=−λ+3μ+γ

−5=λ−2μ−3γ

 

2

−1

1

 

1

3

2

 

−2

1

−3

 

 

 

λ

μ

ν

 

=

 

3

2

−5

 

R

2

→R

2

+R

3

 

2

0

1

 

1

1

−2

 

−2

−2

−3

 

 

 

λ

μ

ν

 

=

 

3

−3

−5

 

R

1

→R

1

−R

2

 

2

0

1

 

0

1

−2

 

0

−2

−3

 

 

 

λ

μ

ν

 

=

 

6

−3

−5

 

λ=3γ=2μ=1

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