If the vectors 3,i + 2,j - k and 6,i - 4xj + | vedclass

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(A) Two vectors $\vec{a} = a_1\,i + a_2\,j + a_3\,k$ and $\vec{b} = b_1\,i + b_2\,j + b_3\,k$ are parallel if their components are proportional,i.e.,$

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$-1, -2$

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(A) Two vectors $\vec{a} = a_1\,i + a_2\,j + a_3\,k$ and $\vec{b} = b_1\,i + b_2\,j + b_3\,k$ are parallel if their components are proportional,i.e.,$\frac{a_1}{b_1} = \frac{a_2}{b_2} = \frac{a_3}{b_3}$.Given vectors are $3\,i + 2\,j - k$ and $6\,i - 4xj + yk$.Comparing the components,we have $\frac{3}{6} = \frac{2}{-4x} = \frac{-1}{y}$.From $\frac{3}{6} = \frac{2}{-4x}$,we get $\frac{1}{2} = \frac{1}{-2x}$,which implies $-2x = 2$,so $x = -1$.From $\frac{3}{6} = \frac{-1}{y}$,we get $\frac{1}{2} = \frac{-1}{y}$,which implies $y = -2$.Therefore,the values are $x = -1$ and $y = -2$.

If the vectors $3\,i + 2\,j - k$ and $6\,i - 4xj + yk$ are parallel,then the value of $x$ and $y$ will be

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