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
)
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