Question

Show that the vectors `2hati - 3hatj + 4hatk` and `-4hati + 6hatj -  8hatk` are collinear.

Answer 1

Let `veca = 2hati - 3hatj + 4hatk` and `vecb = -4hati + 6hatj - 8hatk`

It is observed that `vec b = -4hati + 6hatj - 8hatk `

`= -2(2hati - 3hatj + 4hatk) `

`= -2veca`

`therefore vec b = lambda vec a`

where,

λ = -2

Hence, the given vectors are collinear.