Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 500+ more calculators!
Nishan Poojary
Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
Nishan Poojary has verified this Calculator and 200+ more calculators!

11 Other formulas that you can solve using the same Inputs

Angle between two lines given direction cosines of that two lines w.r.to x, y & z axis
Angle A=acos ((Direction cosine with respect to x axis* Direction cosine 2 with respect to x axis)+(Direction cosine with respect to y axis* Direction cosine 2 with respect to y axis)+ (Direction cosine with respect to z axis* Direction cosine 2 with respect to z axis)) GO
Direction cosine of line2 w.r.to x axis given angle between line 1 & 2
Direction cosine 2 with respect to x axis= (cos(Angle A)-(Direction cosine with respect to y axis*Direction cosine 2 with respect to y axis)-(Direction cosine with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine with respect to x axis) GO
Direction cosine of line1 w.r.to x axis given angle between line 1 & 2
Direction cosine with respect to x axis= (cos(Angle A)-(Direction cosine with respect to y axis*Direction cosine 2 with respect to y axis)-(Direction cosine with respect to z axis*Direction cosine 2 with respect to z axis))/(Direction cosine 2 with respect to x axis) GO
Relation between direction cosines of coordinate axes
Relation between direction cosines=(Direction cosine with respect to x axis)^2+(Direction cosine with respect to y axis)^2+(Direction cosine with respect to z axis)^2 GO
Force Between Parallel Wires
magnetic force per unit length=([Permeability-vacuum]*Electric Current in Conductor 1*Electric Current in Conductor 2)/(2*pi*Perpendicular Distance) GO
Direction cosine w.r.to y axis given direction cosine w.r.to x and z axis
Direction cosine with respect to y axis= sqrt(1-(Direction cosine with respect to x axis)^2- (Direction cosine with respect to z axis)^2) GO
Direction cosine w.r.to x axis given direction cosine w.r.to y and z axis
Direction cosine with respect to x axis= sqrt(1-(Direction cosine with respect to y axis)^2- (Direction cosine with respect to z axis)^2) GO
Magnetic Field Due to a Straight Conductor
Magnetic Field=([Permeability-vacuum]*Electric Current/4*pi*Perpendicular Distance)*(cos(Theta 1)-cos(Theta 2)) GO
Magnetic Field on the Axis of a Ring
Magnetic Field=([Permeability-vacuum]*Electric Current*Radius^2)/(2*(Radius^2+Perpendicular Distance^2)^(3/2)) GO
Magnetic Field Due to an Infinite Straight Wire
Magnetic Field=([Permeability-vacuum]*Electric Current)/(2*pi*Perpendicular Distance) GO
Chord length when radius and perpendicular distance are given
Chord Length=sqrt(Radius^2-Perpendicular Distance^2)*2 GO

7 Other formulas that calculate the same Output

z coordinate of normal given direction cosines & ⊥ distance from the origin to the plane
z coordinate in 3D space= ((Perpendicular Distance)-( Direction cosine with respect to x axis* x coordinate in 3D space)-(Direction cosine with respect to y axis* y coordinate in 3D space))/ (Direction cosine with respect to z axis) GO
z coordinate of point given ⊥ distance between plane and a point
z coordinate in 3D space=modulus(((Perpendicular Distance)+(constant coefficient of plane)-(Direction ratio 1*x coordinate in 3D space)-(Direction ratio 2*y coordinate in 3D space))/(Direction ratio 3)) GO
z coordinate of centroid of tetrahedron
z coordinate in 3D space= (z1 coordinate in 3D space+z2 coordinate in 3D space+ z3 coordinate in 3D space+z4 coordinate in 3D space)/4 GO
z coordinate of point dividing the line joining P & Q externally in ratio m1:m2
z coordinate in 3D space= ((ratio1*z2 coordinate in 3D space)-(ratio2*z1 coordinate in 3D space))/(ratio1-ratio2) GO
z coordinate of point dividing the line joining P & Q internally in ratio m1:m2
z coordinate in 3D space=((ratio1*z2 coordinate in 3D space)+(ratio2*z1 coordinate in 3D space))/(ratio1+ratio2) GO
z coordinate of centroid of triangle
z coordinate in 3D space= (z1 coordinate in 3D space+z2 coordinate in 3D space+ z3 coordinate in 3D space)/3 GO
z coordinate of point dividing the line joining P & Q at middle
z coordinate in 3D space= ((z1 coordinate in 3D space+z2 coordinate in 3D space)/2) GO

z coordinate of foot of perpendicular N from the origin on the plane Formula

z coordinate in 3D space= (Direction cosine with respect to z axis* Perpendicular Distance)
z= (n* d)
More formulas
z coordinate of a point given distance from origin to point and x & y coordinate of that point GO
z coordinate of a point given y coordinate and Perpendicular distance of that point from x axis GO
z coordinate of a point given x coordinate and Perpendicular distance of that point from y axis GO
z coordinate of point dividing the line joining P & Q internally in ratio m1:m2 GO
z coordinate of point dividing the line joining P & Q externally in ratio m1:m2 GO
z coordinate of point dividing the line joining P & Q at middle GO
z coordinate of centroid of triangle GO
z coordinate of centroid of tetrahedron GO
z1 coordinate of end point of line given direction ratio and z2 coordinate of other end of that line GO
z2 coordinate of end point of line given direction ratio and z1 coordinate of other end of that line GO
z2 coordinate of a line given z1 coordinate & projection of that line w.r.to z axis GO
z1 coordinate of a line given z2 coordinate & projection of that line w.r.to z axis GO
z coordinate of normal given direction cosines & ⊥ distance from the origin to the plane GO
z coordinate of point given ⊥ distance between plane and a point GO
z coordinate of centre of sphere given radius and x, y coordinates of sphere GO
z coordinate of centre of sphere of form x2+y2+z2+2ux +2vy+2wz+d=0 & radius of sphere GO
z coordinate of centre of sphere of form x2+y2+z2+(2u/a)x+(2v/a)y+(2w/a)z+ d/a=0 GO

What is direction cosine in coordinate geometry?

The direction cosines of a vector are the cosines of the angles between the vector and the three coordinate axes. Equivalently, they are the contributions of each component of the basis to a unit vector in that direction.

How to Calculate z coordinate of foot of perpendicular N from the origin on the plane?

z coordinate of foot of perpendicular N from the origin on the plane calculator uses z coordinate in 3D space= (Direction cosine with respect to z axis* Perpendicular Distance) to calculate the z coordinate in 3D space, The z coordinate of foot of perpendicular N from the origin on the plane formula is defined as is a point on z axis corresponding to origin and given perpendicular distance from origin. z coordinate in 3D space and is denoted by z symbol.

How to calculate z coordinate of foot of perpendicular N from the origin on the plane using this online calculator? To use this online calculator for z coordinate of foot of perpendicular N from the origin on the plane, enter Direction cosine with respect to z axis (n) and Perpendicular Distance (d) and hit the calculate button. Here is how the z coordinate of foot of perpendicular N from the origin on the plane calculation can be explained with given input values -> 0.03 = (1* 0.03).

FAQ

What is z coordinate of foot of perpendicular N from the origin on the plane?
The z coordinate of foot of perpendicular N from the origin on the plane formula is defined as is a point on z axis corresponding to origin and given perpendicular distance from origin and is represented as z= (n* d) or z coordinate in 3D space= (Direction cosine with respect to z axis* Perpendicular Distance). Direction cosine with respect to z axis is the cosine of angle made by a line w.r.to z axis and The perpendicular distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both.
How to calculate z coordinate of foot of perpendicular N from the origin on the plane?
The z coordinate of foot of perpendicular N from the origin on the plane formula is defined as is a point on z axis corresponding to origin and given perpendicular distance from origin is calculated using z coordinate in 3D space= (Direction cosine with respect to z axis* Perpendicular Distance). To calculate z coordinate of foot of perpendicular N from the origin on the plane, you need Direction cosine with respect to z axis (n) and Perpendicular Distance (d). With our tool, you need to enter the respective value for Direction cosine with respect to z axis and Perpendicular Distance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate z coordinate in 3D space?
In this formula, z coordinate in 3D space uses Direction cosine with respect to z axis and Perpendicular Distance. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • z coordinate in 3D space=((ratio1*z2 coordinate in 3D space)+(ratio2*z1 coordinate in 3D space))/(ratio1+ratio2)
  • z coordinate in 3D space= ((ratio1*z2 coordinate in 3D space)-(ratio2*z1 coordinate in 3D space))/(ratio1-ratio2)
  • z coordinate in 3D space= ((z1 coordinate in 3D space+z2 coordinate in 3D space)/2)
  • z coordinate in 3D space= (z1 coordinate in 3D space+z2 coordinate in 3D space+ z3 coordinate in 3D space)/3
  • z coordinate in 3D space= (z1 coordinate in 3D space+z2 coordinate in 3D space+ z3 coordinate in 3D space+z4 coordinate in 3D space)/4
  • z coordinate in 3D space= ((Perpendicular Distance)-( Direction cosine with respect to x axis* x coordinate in 3D space)-(Direction cosine with respect to y axis* y coordinate in 3D space))/ (Direction cosine with respect to z axis)
  • z coordinate in 3D space=modulus(((Perpendicular Distance)+(constant coefficient of plane)-(Direction ratio 1*x coordinate in 3D space)-(Direction ratio 2*y coordinate in 3D space))/(Direction ratio 3))
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