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3D Geometry question

2024 · 30 Jan · Shift 1 · Q44

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JEE Main
Mathematics
3D Geometry
2024 · 30 Jan · Shift 1 · Q44

3D Geometry question

2024 · 30 Jan · Shift 1 · Q44

JEE MainMathematics3D GeometryMCQ+4 / −1

Let

A(2,3,5)

and

C(-3,4,-2)

be opposite vertices of a parallelogram

A B C D

. If the diagonal

\overrightarrow{\mathrm{BD}}=\hat{i}+2 \hat{j}+3 \hat{k}

, then the area of the parallelogram is equal to :

A
$\frac{1}{2} \sqrt{410}$
B
$\frac{1}{2} \sqrt{306}$
C
$\frac{1}{2} \sqrt{586}$
D
$\frac{1}{2} \sqrt{474}$

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