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Statement 1 : Lines vecr= hati-hatj+ lam...

Statement 1 : Lines `vecr= hati-hatj+ lamda (hati+hatj-hatk) and vecr= 2hati-hatj+ mu (hati+hatj-hatk)` do not intersect.
Statement 2 : Skew lines never 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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