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- It can be show that a plane area may he represented by a vector A=A, where A is the area and represents a unit vector normal to the piano: of the area. Show that the area vector of the parallelogram formed by the vectors a and b shown in the figure is A=ab.The force R is the resultant of P and 0. Determine Q and the angle .The three forces of magnitude P can be replaced by a single, equivalent force R acting at point A. Determine the distance x and the magnitude and direction of R.
- Determine the value of the scalar a if the following three vectors are to lie in the same plane: A=2i-j+2km,B=6i+3j+akm, and C=16i+46j+7km.The length of the position vector r is 240 mm. Determine the rectangular components of (a) r; and (b) the unit vector directed from O toward A.Resolve A=3i+5j4k in. into two vector components-one parallel to and the other perpendicular to B=6i+2k in. Express each of your answers as a magnitude multiplied by a unit vector.
- Determine the moment of the force F=9i+18jlb about point O by the following methods: (a) vector method using rF; (b) scalar method using rectangular components of F; and (c) scalar method using components of F that are parallel and perpendicular to the line OA.Shown are two vectors F1 and F2. Determine the resultant vector in (a) Cartesian form (b) unit vector formExpress F1 and F2 as Cartesian vectors.Find the magnitudes of the forces. Note (F1=110N , F2=70N)
- A 60 N force acting at 30 east of north and a second 60 N force acting in the direction 60 west of north are concurrent forces. Determine the magnitude and direction of the resultant forceKindly Draw the Graphical Representation and compute fr the x and y components and angle of the following resultant vectors: R = A + G P = Z + LGet the resultant of the following forces. A = 245 N, east B = 175 N, 30° southeast