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Statement I: If a=2hati+hatk,b=3hatj+4ha...

Statement I: If `a=2hati+hatk,b=3hatj+4hatk and c=lamda a+mub` are coplanar, then `c=4a-b`.
Statement II: A set vector `a_(1),a_(2),a_(3), . . ,a_(n)` is said to be linearly independent, if every relation of the form
`l_(1)a_(1)+l_(2)a_(2)+l_(3)a_(3)+ . . .+l_(n)a_(n)=0` implies that `l_(1)=l_(2)=l_(3)= . . .=l_(n)=0` (scalar).

A

Statement-I and statement II ar correct and Statement II is the correct explanation of statement I

B

Both statement I and statement II are correct but statement II is not the correct explanation of statement I

C

Statement I is correct but statement II is incorrect

D

Statement II is correct but statement I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
B
a,b and c are coplanar `c=lamda a+mubimplieslamda=4 and mu=-1`.
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