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What are the direction cosines of the vector (2i + j - 2k)?

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Given : A vector \((2\hat i+\hat j-2\hat k)\)

(2i + j - 2k)

To find : Direction cosines of the vector

Formula used : If a vector is \(l\vec i+m\vec j+n\vec k\) then direction cosines are given by \(\cfrac{1}{\sqrt{l^2+m^2+n^2}}\),  \(\cfrac{m}{\sqrt{l^2+m^2+n^2}}\)\(\cfrac{n}{\sqrt{l^2+m^2+n^2}}\)

Here l = 2 , m = 1 , n = -2

Direction cosines of the line with direction ratios 2, 1, -2 is

Direction cosines of the vector is 

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