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P and Q are points on the straight line ...

P and Q are points on the straight line passing to the vector `2 hat(i)-hat(j)- hat (k)` and parallel to the vector `2 hat(i)-hat(j)+2 hat (k)` , If
`AP=AQ=3` , then the vector equation of the plane OPQ is

A

`r=(s+5t) hat(i)+2s hat(j)+ (t-3s) hat (k)`

B

`r= (3 hat(i)+ hat(j)- hat(k))+s(2 hat(i)- hat(j)+2 hat(k))+t (5 hat(i)+hat(k))`

C

`r= (s+5t)hat(i)+2s hat(j)+(5s +t)hat(k)`

D

`r= (3t-s)hat(i)+2s hat(j)+(t-3s)hat (k)`

Text Solution

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The correct Answer is:
A
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