a. Consider the two Cartesian vectors, R and F. R = -22 i + 4j - 6k F = 12-10-14 k Use the scalar product of the two vec

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A Consider The Two Cartesian Vectors R And F R 22 I 4j 6k F 12 10 14 K Use The Scalar Product Of The Two Vec 1 (28.33 KiB) Viewed 29 times

a. Consider the two Cartesian vectors, R and F. R = -22 i + 4j - 6k F = 12-10-14 k Use the scalar product of the two vectors to calculate the angle between the two vectors. b. A reference coordinate system is set up for a system of load forces acting on a structure. These load forces result in two moments, M₁ and M₂ about the origin of the coordinate system and which can be represented by the following Cartesian vectors: M₁ = ( 6i-12j-12 k) kN.m M₂ = (12 i + 7 + 2 k) kN.m (1) Determine the resultant molt acting on the structure, expressed as a Cartesian vector. MR = M₁ + M₂ (ii) Calculate the magnitude MR of the resultant moment. (iii) Using the coordinate direction angles (a, ß and y), specify the direction of the resultant moment vector MR.