Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): A line passing through the points (4, 7, 8) and (2, 3, 4) is parallel to a line passing through the points (-1, -2, 1) and (1, 2, 5). Reason (R): Two lines with direction vectors b1 and b2 are parallel if b1 × b2 = 0, whereas they are perpendicular if b1 · b2 = 0. Select the correct answer from the options given below:

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Mathematics · Vectors and Three Dimensional Geometry

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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Correct answer

Assertion (A) is true but Reason (R) is false.

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Answer 1

Assertion (A) is false but Reason (R) is true.

Answer 2

Assertion (A) is true but Reason (R) is false.

Answer 3

Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).

Answer 4

Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

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