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- 97 PROBLEMS 2-45. Describe how to determine whe ther an equilibrium is stable or unstable when (dUdx),0. 2-46. Write the criteria for determining whether an equilibrium is stable or unstable when all derivatives up through order n, (d" U/ dx ") 0. 247. Consider a particle moving in the rCrionGiven vector A = xz ax -xy ay +yz az Transform A into cylindrical coordinate and it's magnitude at point (1,30o,2) is equal to:Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find u X (-9v)
- A unit vector m is along the positive x-axis and the unit vector n in quarant II. The angle betweenthem is 104°. Draw a vector diagram of 3n-2m and then find the magnitude of |3n+2m|, correctto the nearest tenth.Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR. Р(- 1,1, - 2), Q(-2,0,1), R(0, -2, - 1)determine the magnitude and orientation theta of FB so that the resultant force is directed along the positive y axis and has a magnitude of 1500N.
- Please help mwVector v = <-4,4>. Draw the vector 1.5v and give its component form and its magnitude and dire0 аф sin þa, + tan— Înr aº at P(2‚ñ/2,3/2). Determine If A = r sin 0 cosa, - cos 20 sin þaŋ + tan cos 20 the vector component of A that is parallel to az (express your answer in spherical coordinates)
- 2d 2. The magnitude, F, of the force shown and the dimensions a, b and c are given. In terms of given quanti- ties, what is the vector projection of the force onto the direction from R UPO a R to Q? 近1.9 Given vectors T = 2a, 6a, + 3a, and S + 2a,+ a₂, find: (a) the scalar projec- tion of T on S, (b) the vector projection of S on T, (c) the smaller angle between T and S. -Question: True or False. Why? A vector space must contain at least two vectors. My Comment: I'm confused why this is a question because I believe it to be False. If I draw one vector on a graph with the coordinates (3,5), it is taking up a vector space on an xy coordinate system. Is that incorrect?