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The condition for intersecting the lines...

The condition for intersecting the lines `vec(r)=vec(a)_(1)+tvec(b)_(1)` and `vec(r)=vec(a)_(2)+svec(b)_(2)` is

A

`(vec(a)_(2)+vec(a)_(1))*(vec(b)_(1)xxvec(b)_(2))=0`

B

`(vec(a)_(2)-vec(a)_(1))*(vec(b)_(1)xxvec(b)_(2))=0`

C

`(vec(a)_(1)xxvec(a)_(2))*(vec(b)_(1)+vec(b)_(2))=0`

D

`(vec(a)_(1)xxvec(a)_(2))*(vec(b)_(1)-vec(b)_(2))=0`

Text Solution

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The correct Answer is:
B
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