1.

Given that the vector \(\vec \alpha {\rm{\;and\;}}\vec \beta \) are non-collinear. The values of x and y for which \(\vec u - \;\overrightarrow {v\;} = \;\vec w\) holds true if \(\vec u = 2x\vec \alpha + y\vec \beta,\) \(\vec v = 2y\vec \alpha + 3{\rm{x}}\vec \beta \) and \(\vec w = 2\vec \alpha - 5\vec \beta \), are

A. x = 2, y = 1
B. x = 1, y = 2
C. x = -2, y = 1
D. x = -2, y = -1
Answer» B. x = 1, y = 2


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