Examples

1) (PAEG- June 2013)

a) Study, depending on a€R, the relative position of r and π:

b) Calculate the distance between r and π for each value of a€R.

 

a)

b)

 

a) Study the relative position of the straight lines:

b) Calculate the distance between r and s.

 

Exercises:

1.- (PAEG - Reserve 2 - 2012) Let the straight lines:

a) Study their relative position

b) Calculate the distance between r and s.

 

2.- (PAEG- September 2012) Let the point P(1,0,0) and the straight line:

a) Find the parametric equations of the line s that passes through the point P and is perpendicular to r.

b) Calculate the distance from P to r.

 

 

Solutions: 1.-a) Skew lines; b) 5√42/42u

2.- a)

b) 3√30/5u