1.

The unit vector perpendicular to vectors a=3hati+hatj and =2hati-hatj-5hatk is

Answer»

`+-((HATI-3hatj+hatk))/(SQRT(11))`
`+-(3hati+hatj)/(sqrt(11))`
`+-((2hati-hatj-5hatk))/(sqrt(30))`
NONE of these

Solution :(a) `a=3hati+hatj` and `b=2hati-hatj-5hatk`
`axxb=|(hati, hatj, hatk),(3,1,0),(2,-1,-5)|=(-5)hati-(-15-0)hatj+(-3-2)hatk`
`=-5hati+15hatj-5hatk`
`R=axxb=-5(hati-3hatj+hatk)`
`HATR=(hati-3hatj+hatk)/(sqrt((1)^(2)+(-3)^(2)+(1)^(2)))=(hati-3hatj+hatk)/(sqrt(11))`


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