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Vector Algebra question

2025 · 24 Jan · Shift 2 · Q35

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JEE Main
Mathematics
Vector Algebra
2025 · 24 Jan · Shift 2 · Q35

Vector Algebra question

2025 · 24 Jan · Shift 2 · Q35

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let the position vectors of three vertices of a triangle be

4 \vec{p}+\vec{q}-3 \vec{r},-5 \vec{p}+\vec{q}+2 \vec{r}

and

2 \vec{p}-\vec{q}+2 \vec{r}

. If the position vectors of the orthocenter and the circumcenter of the triangle are

\frac{\vec{p}+\vec{q}+\vec{r}}{4}

and

\alpha \vec{p}+\beta \vec{q}+\gamma \vec{r}

respectively, then

\alpha+2 \beta+5 \gamma

is equal to :

A
4
B
3
C
1
D
6

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