Calculate the vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6) is:

Calculate the vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6).

Solutions

Expert Solution

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).

Rakesh answered 1 year ago

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