Afstand punt-lijn I

l is de lijn gedefineerd door de vergelijking

$val12 .

Bereken de afstand tussen l en het punt ($val9 , $val10) .


Afstand punt-lijn II

Let L be the plane line defined by the parametrized equations:

x = $val16 , y = $val17 .

Compute the distance between L and the point ($val13 , $val14) .


Line on point I

Let L be the line define by the equation

$val11 .

What is the value of c so that L contains the point ($val8 , $val9) ?


Line on point II

Let L be the line define by the equation

$val13 .

What is the value of c so that L contains the point ($val8 , $val9) ?


Parallel I

Let L be the plane line defined by the equation

$val12 .

Find an equation of the line containing the point ($val9 , $val10) and parallel to L.


Parallel II

Let L be the plane line defined by the parametrized equations:

x = $val16 , y = $val17 .

Find an equation of the line containing the point ($val12 , $val13) and parallel to L.


Parametrized to equation

Let L be the plane line defined by the parametrized equations:

x = $val14 , y = $val15 .

Find an equation of L.

The equation must be of the form ax + by = c.


Perpendicular I

Let L be the plane line defined by the equation

$val12 .

Find an equation of the line containing the point ($val9 , $val10) and perpendicular to L.


Perpendicular II

Let L be the plane line defined by the parametrized equations:

x = $val14 , y = $val15 .

Find an equation of the line containing the point ($val10 , $val11) and perpendicular to L.


2 points

Find an equation of the line in the plane containing the points ($val6 , $val8) and ($val7 , $val9).

The equation must be of the form ax + by = c.


Point on line I

Let L be the line define by the equation

$val10 .

Find the value of c such that the point ($val12 , $val13) is on L.


Point on line II

Let L be the line defined by parametrized equations

x = $val11 , y = $val12 .

Find the value of c such that the point ($val14 , $val15) is on L.


Point and slope

Find an equation of the line in the plane containing the point ($val6 , $val7), and with slope = $val10.

The equation must be of the form ax + by = c.