Given are three vectors in set B.
To show that B is dependent
The determinant
Hence vectors are dependent
b) The given equation
Let us try parametrically
These 3 vectors are collinear and hence equation would be
c) Basis for B would be only 2 dimensional
i.e. any two vectors out of 3 form basis
The basis would be (1,0,1) and (0,1,2)