Values of x and y for which vectors A =(6 hat{ i }+x hat{ j }-2 hat{ k }) and B =(5 hat{ i }+6 hat{

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3-1.Vectors

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The values of $x$ and $y$ for which vectors $A =(6 \hat{ i }+x \hat{ j }-2 \hat{ k })$ and $B =(5 \hat{ i }+6 \hat{ j }-y \hat{ k })$ may be parallel are

A$x=0, y=\frac{2}{3}$

B$x=\frac{36}{5}, y=\frac{5}{3}$

C$x=-\frac{15}{3}, y=\frac{23}{5}$

D$x=-\frac{36}{5}, y=\frac{15}{4}$

Solution

(b)
For vectors to be parallel, ratio of coefficients should be same.
$\therefore \quad \frac{6}{5}=\frac{x}{6}=\frac{-2}{-y}$

Standard 11

Physics

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