If \overline{a}=\overline{i}+\overline{j}, \overline{b}=2 \overline{j}-\overline{k} are two vectors such that \overline{i} \times \overline{a}=\overline{b} \times \overline{a}, \overline{r} \times \overline{b}=\overline{a} \times \overline{b}, then the unit vector in the direction of \overline{ {\r}} is [AP EAPCET 26 May 2025 S1]

Correct Answer is : 1√11(i+3j−k)

{1}/{\sqrt{11}}(\overline{ {\i}}+3 \overline{ {\j}}-\overline{ {\k}})

{1}/{\sqrt{11}}(\overline{ {\i}}-3 \overline{ {\j}}+\overline{ {\k}})

{1}/{\sqrt{3}}(\overline{ {\i}}+\overline{ {\j}}+\overline{ {\k}})

{1}/{\sqrt{3}}(\overline{ {\i}}+\overline{ {\j}}-\overline{ {\k}})

AP EAPCET 26 May 2025 Shift 1 Paper

Section: Mathematics

Question : 32 of 160

Marks: +1, -0

If a=i+j,b=2j−k are two vectors such that i×a=b×a,r×b=a×b, then the unit vector in the direction of r is

[AP EAPCET 26 May 2025 S1]

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