In: Math
Calculate the vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6).
Answer : -i +2k +λ(4i + 4j + 4k)
Explanation :
The vector equation of the line passes through two points is given by:
r = a + λ (b – a), λ is scalar quantity
Let, a = -i + 2k And b = 3i + 4j + 6k
b – a = ( 3+1)i + ( 4-0 )j + ( 6-2 )k
= 4i + 4j + 4k
Let the vector equation be r,
r = -i + 2k + λ (4i + 4j + 4k)
The vector equation is r = -i + 2k + λ (4i + 4j + 4k).