IB Math SL
HW 3 – Vector Equation of a Line
Name______________________________________
1.
Find a vector equation for the line passing through the point (4, 3) and parallel to the vector i – 2j.
2.
Find a vector equation for the line passing through the point (5, -2, 3) and parallel to the vector
4i – 3j + k.
3.
Find a vector equation of a line passing through the point (5, -1) and perpendicular to the vector
i + j.
4.
Find a vector equation for the line joining the points (2, 6) and (5, -2).
5.
Find a vector equation for the line joining the points (-1, 2, -3) and (6, 3, 0).
6.
Points A and B have coordinates (4, 1) and (2, -5), respectively. Find a vector equation for the
line which passes through the point A, and which is perpendicular to the line AB.
7.
Find the position vector of the point of intersection of
and
8.
r1  (6 – 2s)i + (s – 5)j, r2  ti +3(1 – t)j
r3  (5 – u)i + (2u – 9)j.
l1 and l 2 , have equations
 x   0  1 
 x    2  1 
     
     
l1 :  y     1   s 3 
and
l2 : y    1   t 1 
 z    3  6 
 z   1   2
     
     
Two lines,
a)
Find the position vector of their point of intersection.
b) Find the angle between
l1 and l2 .