The vector equation of the line passing through the points (4,2,3) and which is parallel to the vector i +2j -5k is given by-
Answer & explanation
Correct answer: option 1
We have vector a = 4i+ 2j +3k and vector b= i+2j -5k
Therefore the vector equation of the line is
vector r = a + λb
⇒ r = (4i+ 2j +3k ) + λ (i+2j -5k)
⇒ r = (4+λ)i + 2(1+λ)j + (3-5λ) k