\overline{a}, \overline{b}, \overline{c} are three non-coplanar and mutually perpendicular vectors of same magnitude {\K} . \overline{r} is any vector satisfying \overline{a} \times((\overline{r}-\overline{b}) \times \overline{a})+\overline{b} \times((\overline{r}-\overline{c}) \times \overline{b})+\overline{c} \times((\overline{r}-\overline{a}) \times \overline{c})=\overline{ {\O}}, then \overline{r}=

Correct Answer is : K2(a+b+c)3K2−1

{ {\K}^2(\overline{a}+\overline{b}+\overline{c})}/{3 {\K}^2-1}

{\overline{a}+\overline{b}+\overline{c}}/{2}

{ {\K}(\overline{a}+\overline{b}+\overline{c})}/{ {\K}+1}

{\overline{a}+\overline{b}+\overline{c}}/{ {\K}^2+1}

TG EAMCET 4 May 2025 Shift 2 Paper

Question : 33 of 160

Marks: +1, -0

a,b,c are three non-coplanar and mutually perpendicular vectors of same magnitude K.r is any vector satisfying a×((r−b)×a)+b×((r−c)×b)+c×((r−a)×c)=O, then r=

‌‌
K2(a+b+c)
3K2−1
‌‌
a+b+c
2
‌‌
K(a+b+c)
K+1
‌‌
a+b+c
K2+1

Validate

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