Four rods of different lengths have their ends loosely joined to form a flexible frame. We label the joints at the ends of the rods as the points A , B , C and D . The points A , B , C and D form a quadrilateral but the quadrilateral does not necessarily lie in a plane. In a particular case, the lengths of the rods are AB = 8 , BC = 3, AD = 4 and DC = 6 . The joints A and C are joined by a stiff wire of length AC = 7 . Sketch and label the frame and the wire. Using part (a), find the plane areas associated with the triangles ABC and ADC . Find the maximum and minimum values of the magnitude of the vector area associated with the whole frame ABCD . Draw a sketch to indicate its direction, and the shape of the frame, for these two cases.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Four rods of different lengths have their ends loosely joined to form a flexible frame. We label the joints at the ends of the rods as the points A , B , C and D . The points A , B , C and D form a quadrilateral but the quadrilateral does not necessarily lie in a plane.
In a particular case, the lengths of the rods are AB = 8 , BC = 3, AD = 4 and DC = 6 . The joints A and C are joined by a stiff wire of length AC = 7 .
Sketch and label the frame and the wire. Using part (a), find the plane areas associated with the triangles ABC and ADC .
Find the maximum and minimum values of the magnitude of the vector area associated with the whole frame ABCD . Draw a sketch to indicate its direction, and the shape of the frame, for these two cases.
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