Geometry - math problems

Number of problems found: 1437

Ladder
4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?
Angle of the body diagonals
Using vector dot product calculate the angle of the body diagonals of the cube.
Vector
Determine coordinates of the vector u=CD if C[19;-7], D[-16,-5].
Cone
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
Find the equation of the circle with center (3,7) and circumference 8π units.
Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependent.
Perpendicular
Determine the slope of the line perpendicular to the line p: y = -x +4.
Distance
What is the distance between the origin and the point (18; 22)?
Coordinates of vector
Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5)
Points collinear
Show that the point A(-1,3), B(3,2), C(11,0) are col-linear.
Segment
Calculate the segment AB's length if the coordinates of the end vertices are A[10, -4] and B[5, 5].
Distance
Calculate distance between two points X[18; 19] and W[20; 3].
Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x;
Calculate 8
Calculate the coordinates of point B axially symmetrical with point A[-1, -3] along a straight line p : x + y - 2 = 0.
Center
Calculate the coordinates of the circle center: x² -4x + y² +10y +25 = 0
Sphere equation
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
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
Find the coordinates of circle and its diameter if its equation is: ?
Forces
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.
Center
Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[11,4] B[13,-7] C[-17,-18].

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