1.

What are the unit vectors parallel to xy-plane and perpendicular to the vector 4hat(i)-3hat(j)+hat(k)?

Answer»

`pm(3HAT(i)+4hat(J))//5`
`pm(4hat(i)+3hat(j))//5`
`pm(3hat(i)-4hat(j))//5`
`pm(4hat(i)-3hat(j))//5`

Solution :A vector whose dot product with the vector `4hat(i)-3hat(j)+hat(k)` is zero and MAGNITUDE is 1, will be the required vectors.
By TAKING option (a)
`pm((3hat(i)+4hat(j)))/(5).(4hat(i)-3hat(j)+hat(k))=(1)/(5)(12-12)=0`
Hence, the vector given in option 'a' is the required vector.


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