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Question
The unit vector perpendicular to the vectors `6hati + 2hatj + 3hatk` and `3hati - 6hatj - 2hatk` is
Options
`(2hati - 3hatj + 6hatk)/7`
`(2hati - 3hatj - 6hatk)/7`
`(2hati + 3hatj - 6hatk)/7`
`(2hati + 3hatj + 6hatk)/7`
MCQ
Solution
`(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`
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