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The equation of the line in vector form ...

The equation of the line in vector form passing through the point (-1,3,5) and parallel to line `(x-3)/(2)=(y-4)/(3),z=2` is

A

`vec(r )=(-hat(i)+3hat(j)+5hat(k))+lamda(2hat(i)+3hat(j)+hat(k))`

B

`vec(r )=(-hat(i)+3hat(j)+5hat(k))+lamda(2hat(i)+3hat(j))`

C

`vec( r)=(2hat(i)+3hat(j)-2hat(k))+lamda(-hat(i)+3hat(j)+5hat(k))`

D

`vec(r )=(2hat(i)+3hat(j))+lamda(-hat(i)+3hat(j)+5hat(k))`

Text Solution

Verified by Experts

The correct Answer is:
B
`vecr=(-hati+3hatj+5hatk)+lambda(2hati+3hatj)`
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