1.

A unit vector perpendicular to both the vectors 2hati-2hatj+hatk and 3hati+4hatj-5hatk, is

Answer»

`(1)/(sqrt(410))(6hati+13hatj+14hatk)`
`(1)/(sqrt(410))(6hati+13hatj+14hatk)`
`(1)/(sqrt(401))(6hati+13hatj+14hatk)`
`(1)/(sqrt(405))(6hati+13hatj+14hatk)`

Solution :A vector PERPENDICULAR to both the given vectors is `(2hati-2hatj+hatk)XX(3hati+4hatj-5hatk)=6hati+13hatj+14hatk`
`:.` UNIT vector perpendicular to the given vectors is
`(6i+13hatj+14hatk)/(sqrt(6^(2)+13^(2)+14^(2)))=(1)/(sqrt(401))(6hati+13hatj+14hatk)`


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