GATE ME 2015 Set 1 — Question 42
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Engineering Mathematics → Computer Integrated Manufacturing → CAD/CAM & Integration
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Question
A triangular facet in a CAD model has vertices: ; and . The area of the facet is
Correct answer
(B) 0.707
Solution
The area of a triangle with vertices is given by the formula:Given the vertices:
First, we find the vectors representing two sides of the triangle:
Next, we calculate the cross product of these two vectors:The magnitude of the cross product is:The area of the triangular facet is:Thus, the correct option is (B).
First, we find the vectors representing two sides of the triangle:
Next, we calculate the cross product of these two vectors:The magnitude of the cross product is:The area of the triangular facet is:Thus, the correct option is (B).
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