alleryThree points (1,0,0), (0,1,0), (0,0,1) are vertices of a triangle. Area:
A2
Bsqrt(3)/2 (= half magnitude of cross product of two sides)
C1
Dsqrt(3)
Answer & Solution
Correct answer: B. sqrt(3)/2 (= half magnitude of cross product of two sides)
Sides from (1,0,0): a=(-1,1,0), b=(-1,0,1).
Cross product a × b = (1, 1, 1). |a × b| = sqrt(3).
Area = (1/2) × sqrt(3) = sqrt(3)/2 ≈ 0.866.
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