Mathematics · Vectors
Consider the following statements regarding the two lines given by the vector equations r = a + tb and r = p + sq: Assertion (A): If (a - p) · (b × q) ≠ 0, then the two lines are coplanar. Reason (R): |(a - p) · (b × q)| is |b × q| times the shortest distance between the lines r = a + tb and r = p + sq.
- 1(A) is false, (R) is true✓
- 2(A) is true, (R) is false
- 3(A) is true, (R) is true and (R) is not the correct explanation to (A)
- 4(A) is true, (R) is true and (R) is the correct explanation to (A)
Correct answer
(A) is false, (R) is true
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