AnglesAndDistancesInSpace

# 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)

2) (PAEG- June 2013)

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

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