Analytic geometry - math word problems - last page

Number of problems found: 268

  • Line
    Line p passes through A[5, -3] and has a direction vector v=(2, 3). Is point B[3, -6] on the line p?
  • Center
    In the ABC triangle is point D[1,-2,6], which is the center of the |BC|, and point G[8,1,-3], which is the center of gravity of the triangle. Find the coordinates of the vertex A[x,y,z].
  • Circle
    From the equation of a circle: -x² -y² +16x -4y -59 = 0 Calculate the coordinates of the center of the circle S[x0, y0] and the radius of the circle r.
  • Square
    Points A[9,9] and B[-4,1] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD.
  • Forces
    In point, G acts three orthogonal forces: F1 = 16 N, F2 = 7 N, and F3 = 6 N. Determine the resultant of F and the angles between F and forces F1, F2, and F3.
  • Angle between lines
    Calculate the angle between these two lines: p: -4x +7y +7 =0 q: -x +4y +7=0
  • Center
    Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[-19,3] B[-20,25] C[22,10].
  • The angle of lines
    Calculate the angle of two lines y=x-8 and y=+12
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