1.

Given that the vectors \[\overline{\alpha }\] and \[\overset{\to }{\mathop{\beta }}\,\] are non-collinear. The values of x and y for which \[\overset{\to }{\mathop{u}}\,-\overset{\to }{\mathop{v}}\,=\overset{\to }{\mathop{w}}\,\] holds true if   \[\overset{\to }{\mathop{u}}\,=2x\overset{\to }{\mathop{\alpha }}\,+y\overset{\to }{\mathop{\beta }}\,,\overset{\to }{\mathop{v}}\,=2\,y\overset{\to }{\mathop{\alpha }}\,+3x\overset{\to }{\mathop{\beta }}\,\] and \[\overset{\to }{\mathop{w}}\,=2\overset{\to }{\mathop{\alpha }}\,-5\overset{\to }{\mathop{\beta }}\,\]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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