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Let \(\vec{a}=2\hat{i}+3\hat{j}+3\hat{k}\) and \(\vec{b}=6\hat{i}+3\hat{j}+3\hat{k}\). Then the square of the area of th…

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Let \(\vec{a}=2\hat{i}+3\hat{j}+3\hat{k}\) and \(\vec{b}=6\hat{i}+3\hat{j}+3\hat{k}\). Then the square of the area of the triangle with adjacent sides determined by the vectors \((2 \vec{a}+3 \vec{b})\) and \((\vec{a}-\vec{b})\) is:

[JEE Main 2026, 6 Apr (Shift 2)]

a

\(450\)

b

\(900\)

c

\(1800\)

d

\(2400\)

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