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Q.

Statement 1 : Let a ,  b,  c and  d  be the position vectors of four points A,B,C and D and  3a2b+5c6d=0 . Then points A, B,C and D are coplanar .
Statement 2 : Three non-zero, linearly dependent co initial vectors (PQ,PR,PS)  coplanar. Then  PQ¯ = λPR+μPS¯  where  λ   and  μ are scalars.
 

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a

Statement 1 is false, statement 2 is false

b

Statement 1 is true, and statement 2 also true.

c

Statement 1 is true and statement 2 is false.

d

Statement 1 is false and statement 2 is true.

answer is A.

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Detailed Solution

If four position vectors are coplanar, then zero vector can be expressed as linear combination of those four vectors and sum of the coefficients must be zero

If three vectors are complanar, one vector can be expressed as linear combination of other two vectors

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