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.)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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