,
,
passing through the points
and
.

### Distance 3D - plane by equation

In
, compute the distance between the point
and the plane defined by the equation
.

### Distance 3D - line by equation

In
, compute the distance between the point
and the line defined by the system

### Distance 3D - line parametric

In
, compute the distance between the point
and the line defined by the parametric system
,
,
.

### Distance 3D - line by points

In
, compute the distance between the point
and the line determined by the points
and
.

### Distance 3D - plane parametric

In
, compute the distance between the point
and the plane defined by the parametric system
,
,
.

### Distance 3D - plane by points

In
, compute the distance between the point
and the plane determined by the points
,
and
.

### Parallel lines 2D

What is the distance between the following two parallel lines in
?
and

### Parallel planes 3D

What is the distance between the following two parallel planes in
?
and

### Parallel lines 3D

What is the distance between the following two parallel lines in
?
,
,
and
,
,

### Orthogonal 2D by equation

Find an equation of the line in
passing through the point
and orthogonal to the line defined by the equation
.

### Orthogonal 2D parametric

Find an equation of the line in
passing through the point
and orthogonal to the line defined by the parametric system
,
.

### Orthogonal 2D by points

Find an equation of the line in
passing through the point
and orthogonal to the line determined by the points
and
.

### Orthogonal 3D by equation

Find an equation of the plane in
passing through the point
and orthogonal to the line defined by the system

### Orthogonal 3D parametric

Find an equation of the plane in
passing through the point
and orthogonal to the line defined by the parametric system
,
,
.

### Orthogonal 3D by points

Find an equation of the plane in
passing through the point
and orthogonal to the line determined by the points
and
.

### Parallel 2D by equation

Find an equation de the line in
passing through the point
and is parallel to the line defined by the equation
.

### Parallel 2D parametric

Find an equation de the line in
passing through the point
and is parallel to the line defined by the parametric system
,
.

### Parallel 2D by points

Find an equation de the line in
passing through the point
and is parallel to the line determined by the points
and
.

### Parallel 3D - plane by equation

Find an equation of the plane in
passing through the point
and parallel to the plane defined by the equation
.

### Parallel 3D - plane parametric

Find an equation of the plane in
passing through the point
and parallel to the plane defined by the parametric system
,
.

### Parallel 3D - plane by points

Find an equation of the plane in
passing through the point
and parallel to the plane determined by the points
,
and
.

### Parallel parametric 3D

We have a line
in
defined by the following parametric system
,
,
. For what value of the parameter
the following plane is parallel to
?

### Projection 2D by equation

In
, compute the orthogonal projection of the point
on the line defined by the equation
. Reply: the projection is (
,
).

### Projection 2D parametric

In
, compute the orthogonal projection of the point
on the line defined by the parametric system
,
. Reply: the projection is (
,
).

### Projection 2D by points

In
, compute the orthogonal projection of the point
on the line determined by the points
and
. Reply: the projection is (
,
).

### Projection 3D - plane by equation

In
, compute the orthogonal projection of the point
on the plane defined by the equation
. Reply: the projection is (
,
,
).

### Projection 3D - line by equation

In
, compute the orthogonal projection of the point
on the line defined by the system

Reply: the projection is (
,
,
).

### Projection 3D - line parametric

In
, compute the orthogonal projection of the point
on the line defined by the parametric system
,
,
. Reply: the projection is (
,
,
).

### Projection 3D - line by points

In
, compute the orthogonal projection of the point
on the line determined by the points
and
. Reply: the projection is (
,
,
).

### Projection 3D - plane parametric

In
, compute the orthogonal projection of the point
on the plane defined by the parametric system
,
. Reply: the projection is (
,
,
).

### Projection 3D - plane by points

In
, compute the orthogonal projection of the point
on the plane determined by the points
,
and
. Reply: the projection is (
,
,
).
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- Description: collection of exercises on orthogonal projection and distance. serveur web interactif avec des cours en ligne, des exercices interactifs en sciences et langues pour l'enseigment primaire, secondaire et universitaire, des calculatrices et traceurs en ligne
- Keywords: math, interactif, exercice,qcm,cours,classe,biologie,chimie,langue,interactive mathematics, interactive math, server side interactivity,exercise,qcm,class, geometry, euclidean geometry, plane, line, projection, distance, orthogonal, parallel