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Question

Mathematics Question on Vectors

Given below are two statements:
Statement I: The vector equation of line passing through two points with position vector a\vec{a} and b\vec{b} is r=a+λ(b+a)\vec{r} = \vec{a} +\lambda(\vec{b}+\vec{a})
Statement II: The vector equation of a straight line passing through a fixed point with position vector a\vec{a} and parallel to a given vector b\vec{b} is r=a+λb\vec{r}=\vec{a}+λ\vec{b} where λ is scalar.
In the light of the above Statements, choose the most appropriate answer from the options given below :

A

Both Statement I and Statement II are correct

B

Both Statement I and Statement II are incorrect

C

Statement I is correct but statement II is incorrect

D

Statement I is incorrect but statement II is correct

Answer

Statement I is incorrect but statement II is correct

Explanation

Solution

The correct answer is(D): Statement I is incorrect but statement II is correct