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Find the vector equation of the followin...

Find the vector equation of the following planes in scalar product from `( vec r. vec n =d)`:
(i) `vecr=(2 hati- hatk)+ lambda hati+ mu( hati- 2 hatj- hatk)`
(ii) `vecr=(1+s-t) hat i +(2-s) hatj+(3-2s+2t) hatk`
(iii) `vecr=hati- hatj+ lambda ( hati + hatj+ hatk) + mu(4 hati-2 hatj +3 hatk)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `vecr.( hat j-2 hatk)=2` (ii) `vecr.(2 hati+ hatk)=5` (iii) `vecr. (5 hati+ hatj-6 hatk)=4`
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