Question

The vector having initial and terminal points as (2, 5, 0) and (–3, 7, 4), respectively is ______.

Options

• `-hat"i" + 12hat"j" + 4hat"k"`

• `5hat"i" + 2hat"j" - 4hat"k"`

• `-5hat"i" + 2hat"j" + 4hat"k"`

• `hat"i" + hat"j" + hat"k"`

Answer 1

The vector having initial and terminal points as (2, 5, 0) and (–3, 7, 4), respectively is `-5hat"i" + 2hat"j" + 4hat"k"`.

Explanation:

Let A and B be two points whose coordinates are given as (2, 5, 0) and (– 3, 7, 4)

∴ `vec"AB" = (-3 - 2)hat"i" + (7 - 5)hat"j" + (4 - 0)hat"k"`

⇒ `vec"AB" = -5hat"i" + 2hat"j" + 4hat"k"`