Question

The unit vector perpendicular to the vectors `6hati + 2hatj + 3hatk` and `3hati - 6hatj - 2hatk` is

विकल्प

• `(2hati - 3hatj + 6hatk)/7`

• `(2hati - 3hatj - 6hatk)/7`

• `(2hati + 3hatj - 6hatk)/7`

• `(2hati + 3hatj + 6hatk)/7`

Answer 1

`(2hati + 3hatj - 6hatk)/7`

Explanation:

Unit vector perpendicular to both the given vectors is,

`((6hati + 2hatj + 3hatk) xx (3hati - 6hatj - 2hatk))/(|(6hati + 2hatj + 3hatk) xx (3hati - 6hatj - 2hatk)|) = (2hati + 3hatj - 6hatk)/7`