1.74 It can be shown that a plane area may be represented by a vector A = AX, where A is the area and represents a unit vector normal to the plane of the area. Show that the area vector of the parallelogram formed by the vectors a and b shown in the figure is A = a × b. "A = AR Area = A Fig. P1.74 1.75 The coordinates of the corners of a triangle ABC are A (3, -1,0), B (-2, 2, 3), and C (0, 0, 4). The units are inches. Calculate the area of triangle ABC. (Hint: See Prob. 1.74.)
1.74 It can be shown that a plane area may be represented by a vector A = AX, where A is the area and represents a unit vector normal to the plane of the area. Show that the area vector of the parallelogram formed by the vectors a and b shown in the figure is A = a × b. "A = AR Area = A Fig. P1.74 1.75 The coordinates of the corners of a triangle ABC are A (3, -1,0), B (-2, 2, 3), and C (0, 0, 4). The units are inches. Calculate the area of triangle ABC. (Hint: See Prob. 1.74.)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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This subject is Statics of Rigid Bodies. Pls see prob 1.74 for the hint. But answer only 1.75, show your solution
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