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Statement 1: Lines vec r= hat i+ hat j-...

Statement 1: Lines ` vec r= hat i+ hat j- hat k+lambda(3 hat i- hat j)a n d vec r=4 hat i- hat k+mu(2 hat i+3 hat k)` intersect. Statement 2: ` vec bxx vec d=0` , then lines ` vec r= vec a+lambda vec ba n d vec r= vec c+lambda vec d` do not intersect.

A

Both the statements are true, and Statement 2 is the correct explanation for Statement 1.

B

Both the Statements are true, but Statement 2 is not the correct explanation for Statement 1.

C

Statement 1 is true and Statement 2 is false.

D

Statement 1 is false and Statement 2 is true.

Text Solution

Verified by Experts

The correct Answer is:
b
Given lines are parallel as both are directed along the same vector `(hati+hatj-hatk)` , so they do not intersect.
Also Statement 2 is correct by definitioin of skew lines, by skew lines are those which are neither parallel nor intersecting. Hence, both the statements are true, but Statement 2 is not the correct explanation for Statement 1.
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