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Vector Algebra question

2023 · 1 Feb · Shift 1 · Q42
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  5. /2023 · 1 Feb · Shift 1 · Q42

Vector Algebra question

2023 · 1 Feb · Shift 1 · Q42

JEE MainMathematicsVector AlgebraNumerical+4 / −1
A(2,6,2),B(−4,0,λ),C(2,3,−1)A(2,6,2), B(-4,0, \lambda), C(2,3,-1)A(2,6,2),B(−4,0,λ),C(2,3,−1) and D(4,5,0),∣λ∣≤5D(4,5,0),|\lambda| \leq 5D(4,5,0),∣λ∣≤5 are the vertices of a quadrilateral ABCDA B C DABCD. If its area is 18 square units, then 5−6λ5-6 \lambda5−6λ is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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