Let the vectors (2+a+b)i + (a+2b+c)j - (b+c)k, (1+b)i + 2bj - bk and (2+b)i + 2bj + (1-b)k, a,b,c ∈ R be co-planar. Then which of the following is true?
Let the vectors (2+a+b)i + (a+2b+c)j - (b+c)k, (1+b)i + 2bj - bk and (2+b)i + 2bj + (1-b)k, a,b,c ∈ R be co-planar. Then which of the following is true?
Option 1 -
2a = b + c
Option 2 -
2b = a + c
Option 3 -
a = b + 2c
Option 4 -
3c = a + b
Asked by Shiksha User
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1 Answer
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Correct Option - 1
Detailed Solution:Vectors are coplanar. Determinant is zero. Row operations.
This leads to 2a=b+c.
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