Distance, slope, x-intercept, y-intercept and line equation between two two-dimensional points
Point 1: x, y
Point 2: x, y
Results
Distance, d = 0| Slope, m = 0
x-intercept = 0| y-intercept = 0
Line Equation, y = 0
Distance between two three-dimensional points
Point 1: x, y, z
Point 2: x, y, z
Result
Distance, d = 0
Shortest distance from a point to a line in the xy-plane Enter the coordinates for the point
Point: x, y, z Enter the line's slope and y-intercept
Slope, m =
Y-intercept, b =
Two-dimensional vector conversion between rectangular & polar coordinates v_{} =
x,
y
|v_{}| =
θ = rad,
θ = degrees
Three-dimensional vector conversion between rectangular & spherical coordinates v_{} =
x,
y,
z
|v_{}| =
θ =
rad,
θ =
deg (angle in xy-plane relative to x-axis)
Φ =
rad,
Φ =
deg (angle relative to z-axis)
Up to 8 rectangular coordinate vectors may be combined and added together to form a resultant vector v_{1} =
x,
y,
z |v_{1}| = 0 v_{2} =
x,
y,
z |v_{2}| = 0 v_{3} =
x,
y,
z |v_{3}| = 0 v_{4} =
x,
y,
z |v_{4}| = 0 v_{5} =
x,
y,
z |v_{5}| = 0 v_{6} =
x,
y,
z |v_{6}| = 0 v_{7} =
x,
y,
z |v_{7}| = 0 v_{8} =
x,
y,
z |v_{8}| = 0 v_{r} = 0x + 0y + 0z |v_{r}| = 0
Dot Product Two vectors in rectangular coordinates or magnitude-angle form may be given and their dot product will be shown v_{1} =
x,
y,
z; |v_{1}| =
v_{2} =
x,
y,
z; |v_{2}| =
The angle between v_{1} and v_{2} =
rad,
deg v_{1}·v_{2} = 0
Cross Product Two vectors in rectangular coordinates or magnitude-angle form may be given and their cross product will be shown v_{1} =
x,
y,
z; |v_{1}| =
v_{2} =
x,
y,
z; |v_{2}| =
The angle between v_{1} and v_{2} =
rad,
deg v_{1} X v_{2} = 0x + 0y + 0z
Center of Mass Up to 8 point masses may be combined and added together to compute the center of mass p_{1} =
x,
y,
z m_{1} = p_{2} =
x,
y,
z m_{2} = p_{3} =
x,
y,
z m_{3} = p_{4} =
x,
y,
z m_{4} = p_{5} =
x,
y,
z m_{5} = p_{6} =
x,
y,
z m_{6} = p_{7} =
x,
y,
z m_{7} = p_{8} =
x,
y,
z m_{8} =
Results p_{com} = 0x + 0y + 0z m_{com} = 0
Ballistic Pendulum Missing value will display/update only if cell is marked/remarked with a '0'. Gravity = 9.8m/s^{2}
Projectile: mass = ; velocity = m/s
Target: mass =
Height attained = m
Moment of Inertia Up to 8 point masses may be combined and added together to compute the moment of inertia about an axis within the xy-plane Enter the line's slope and y-intercept
Slope, m =
Y-intercept, b = p_{1} =
x,
y,
z m_{1} = p_{2} =
x,
y,
z m_{2} = p_{3} =
x,
y,
z m_{3} = p_{4} =
x,
y,
z m_{4} = p_{5} =
x,
y,
z m_{5} = p_{6} =
x,
y,
z m_{6} = p_{7} =
x,
y,
z m_{7} = p_{8} =
x,
y,
z m_{8} =
Result
Moment of Inertia, I = 0
Net Gravitational Force Up to 8 point masses may be combined and added together to compute the net gravitational force on a particle of interest Gravitational Constant = 6.67x10^{-11} N·m^{2}/kg^{2}; m^{3}/kg·s^{2} Round places after decimal point Particle of interest
Mass: kg
Position: x,
y,
z p_{1} =
x,
y,
z m_{1} = kg p_{2} =
x,
y,
z m_{2} = kg p_{3} =
x,
y,
z m_{3} = kg p_{4} =
x,
y,
z m_{4} = kg p_{5} =
x,
y,
z m_{5} = kg p_{6} =
x,
y,
z m_{6} = kg p_{7} =
x,
y,
z m_{7} = kg p_{8} =
x,
y,
z m_{8} = kg