Parametric Lines
GROUP MEMBERS:
1. _____________________________
2. ______________________________
3. ______________________________
4. ______________________________
Have each group member sign the sheet. Then each person does their problem, explaining their work to the group and asking if there are any questions. Once everyone understands, then pass the sheet to the next person.
Person 1: Give the parametric equation of the line that passed through the point P=(3, 2, -7) in the direction of the vector v = (-4, -8, 5).
Person 2: Here is a set of parametric equations for a line:
x(t) = 2 - 4t y(t) = - 3 + 2t z(t) = 1 + 7t.
Give one point that lies on this line and give the direction vector of this line.
We wish to find the parametric equation for the line that goes through the two points P= (1, 3, -6) and
Q = (4, -7, 2).
Person 3: Find a direction vector for this line.
Person 4: Using the direction vector given above, give the parametric equation for this line.