The unit vector which is orthogonal...
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The unit vector which is orthogonal to the vector i + j +k and is coplanar with vectors î +2j - k and 2î + î + 3k, is

JEE/Engineering Exams
Maths
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"ne reginred rector [ begin{aligned} =& x bar{a}+y bar{b} -& x[1+2 j-hat{k}]+y[2 hat{i}+hat{j}+3 hat{t}) bar{x}=[x+2 y]^{2}+[2 x+y]_{j}-[x-3 y] hat{k} end{aligned} ] ( 1 t i s quad 1 quad ) fo ( quad hat{i}+vec{j}+hat{k} ) [ x+2 y+2 x+y+x+3 y=0 ] [ 2 x+6 y=0 ] ( x+3 y=0 ) ( 1 t ) is a whit vector ( (x+2 y)^{2}+(2 x+4)^{2}+[3 y-x]^{2}=1-(2) ) solving (D) ( varepsilon ) ( bar{gamma}=frac{-3}{sqrt{62}}[overline{1}+2 bar{j}-bar{k}]+frac{1}{sqrt{62}}[2 overline{3}+bar{j}+3 bar{k}] )
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