1.

Find the distance between the parallel planes `vecr.(2hati-3hatj+6hatk) = 5` and `vecr.(6hati-9hatj+18hatk) + 20 = 0`.A. `2/3`B. `5/3`C. `4/3`D. `1/3`

Answer» Correct Answer - B
The equations of two planes are
`vecr.(2hati-3hatj+6hatk)=5` and `ver.(2hati-3hatj+6hatk)=-20/3`
`:.` Distance between the planes `=(|5-(-20/3)|)/(|2hati-3hatj+6hatk|)=5/3`


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