Q. 12
Find the vector equation of a line passing through the point (1, 2, 3) and parallel to the vector 
Answer :
Given : A vector 
To find : vector equation of a line passing through the point (1, 2, 3) and parallel
to the vector 
Formula used : If a line is parallel to the vector (l
+ m
+ n
)
and passing through the point (p,q,r) then vector equation of the line is given by
= p
+ q
+ r
+ λ (l
+ m
+ n
)
Here p = 1 , q = 2 , c = 3 and l = 3 , m = 2 , n = -2
Substituting the above values,we get
= 1
+ 2
+ 3
+ λ (3
+ 2
- 2
)
The vector equation of a line passing through the point (1, 2, 3) and
parallel to the vector 
is 
= 
+ 2
+ 3
+ λ (3
+ 2
- 2
)
Rate this question :
Revision of straight lines important formulas in one shot59 mins
Concept Builder Questions of straight Lines (Quiz Session)55 mins
Magnetic field due to current carrying straight wire37 mins
Translation Process37 mins
Interactive Quiz on Bacterial Diseases29 mins
Immune System Disorders60 mins
Interactive Quiz on Cancer36 mins
Interactive Quiz on Magnetic field due to straight wire & circular loop41 mins
Human health & diseases (Drug)56 mins
Get to know all about Immune System60 mins
Find the vector and Cartesian equations of the line through the point (1, 2, -4) and perpendicular to the two lines.
and 
Write the vector equations of the following lines and hence determine the distance between them:
