The Cartesian equations of a line are 
Write the vector equation of the line.
Given : A line 
To find : vector equation of a line 
Formula used : If a line is given by 
= 
= 
= λ then vector equation of the line is given by 
= a
+ b
+ c
+ λ (l
+ m
+ n
)
The given line is 
= 
= 
Here a = 3 , b = -4 , c = 3 and l = -5 , m = 7 , n = 2
Substituting the above values,we get
= 3
- 4
+ 3
+ λ (-5
+ 7
+ 2
)
The vector equation of a line is given by 
= 
= 
= 3
- 4
+ 3
+ λ (-5
+ 7
+ 2
)
1