Evaluate the line integral 8xy ds, where C is the right half of the circle x? + y = 25.
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- I 2 BE Suppose you walk 13.0 m straight west and then 21.0 m straight north. How far are you from your starting point, 25 m what is angle of the resultant vector, 57.5 O and what is the compass direction of a line connecting your starting point to your final position? 58 X °W of NGiven 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: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)Q(2) Consider the two vectors A= 31 – 2j and B = 2i – 3j. Calculate the angle between the two vectors A) 146° B) 47.7° C) 70° D) 22.6° O 1. D O 2. B O 3. C O 4. Adetermine 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.
- c) The geodesics of the sphere are great circles. Thinking of θ = 0 as the North pole and θ = π as the South pole, find a set a solutions to the geodesic equation corresponding to meridians, andalso the solution corresponding to the equator.Vector v = <-4,4>. Draw the vector 1.5v and give its component form and its magnitude and direConsider two vectors A and B. À = 11 + 13Ĵ and B = 14î - 16) Find the unit vector that points in the same direction as the vector A + 2B. Write the unit vector in the form 1 √ (U‚Î + U‚}) N = = U₁ =
- Two vectors a and 6 have magnitudes 4 and 2 respectively. Also the angle between a and bis Find a .. 130Vector v = <-4,4> and vector w = <-2,-1>. Draw the vector v+w and give its component form.solve for the cylindrical and spherical coordinates of vector N=24i-2j+9k and show the illustration of the graph of spherical and cylindrical.