Question

The vector equation of a line which passes through the point (3, 4, –7) and (1, –1, 6) is ______.

Answer 1

The vector equation of a line which passes through the point (3, 4, –7) and (1, –1, 6) is `underlinebb(vecr = 3hati + 4hatj - 7hatk + λ(-2hati - 5hatj + 13hatk))`.

Explanation:

Required vector equation

`vecr = 3hati + 4hatj - 7hatk + λ[hati - hatj + 6hatk - 3hati - 4hatj + 7hatk]`

∴ `vecr = 3hati + 4hatj - 7hatk + λ(-2hati - 5hatj + 13hatk)`