Home › JEE Main › Mathematics › Surface Areas and Volumes › Three points (1,0,0), (0,1,0), (0,0,1) are verti…
Three 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.
Related questions
Painting the outside of a toy needs to be worked out from its:Breaking a hard problem into solved smaller ones is the method:A cylindrical tube with a rounded end is a cylinder with a:Pouring a liquid into a container of another shape keeps its:Joining two solids at their flat faces hides those faces:Which solid is not among the basic ones met earlier?The word frustum comes from Latin, meaning a piece:The two circular ends of a frustum have radii that are: