The area of the parallelogram formed by the points $(1, 1, 1), (- 2, 4, 1), (- 1, 5, 5)$ and $(2, 2, 5)$ , is

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Solution

The correct option is D 18
Assume points $A, B, C, D$ of parallelogram $A B C D$ be $A (1, 1, 1), B (- 2, 4, 1), C (- 1, 5, 5)$ and $D (2, 2, 5)$
$\to A B : 3^i - 3^j$
$\to A C : 2^i - 4^j - 4^k$
$\to A B \times \to A C = (3^i - 3^j) \times (2^i - 4^j - 4^k)$
Area of parallelogram $A B C D = | \to A B \times \to A C | = 18$

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