Geometry - math word problems

Number of problems found: 1319

  • Ladder
    rebrik_4 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?
  • Angle of the body diagonals
    body_diagonals_angle Using vector dot product calculate the angle of the body diagonals of the cube.
  • Center
    circle Calculate the coordinates of the circle center: ?
  • Vector
    vectors Determine coordinates of the vector u=CD if C[19;-7], D[-16,-5].
  • Cone
    cones_1 If the segment of the line y = -3x +4 that lies in quadrant I is rotated about the y-axis, a cone is formed. What is the volume of the cone?
  • Find the 12
    circle_eq Find the equation of the circle with center (3,7) and circumference 8π units.
  • Angle between lines
    angle_two_lines Calculate the angle between these two lines: ? ?
  • Perpendicular
    perpendicular Determine the slope of the line perpendicular to the line p: y = -x +4.
  • Distance
    origin_math Wha is the distance between the origin and the point (18; 22)?
  • Coordinates of vector
    vectors_2 Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5)
  • Points collinear
    collinear Show that the point A(-1,3), B(3,2), C(11,0) are col-linear.
  • Segment
    segment_AB Calculate the segment AB's length if the coordinates of the end vertices are A[10, -4] and B[5, 5].
  • Distance
    distance Calculate distance between two points X[18; 19] and W[20; 3].
  • Distance problem
    linear_eq_3 A=(x, x) B=(1,4) Distance AB=√5, find x;
  • Calculate 8
    axail_symmetry Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0.
  • Linear independence
    colinear_vectors Determine if vectors u=(-4; -5) and v=(20; 25) are linear Linear dependent.
  • Sphere equation
    sphere2 Obtain the equation of sphere its centre on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1).
  • Line
    img2 Line p passing through A[-10, 6] and has direction vector v=(3, 2). Is point B[7, 30] on the line p?
  • Circle - AG
    circle2 Find the coordinates of circle and its diameter if its equation is: ?
  • Forces
    ijk In point O acts three orthogonal forces: F1 = 20 N, F2 = 7 N, and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2, and F3.

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