Geometry - math problems
Number of problems found: 1437
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.
Determine coordinates of the vector u=CD if C[19;-7], D[-16,-5].
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.
Determine the slope of the line perpendicular to the line p: y = -x +4.
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.
Calculate the segment AB's length if the coordinates of the end vertices are A[10, -4] and B[5, 5].
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.
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 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: ?
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.
Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[11,4] B[13,-7] C[-17,-18].