Question:
Given below are two statements:
Statement I: The vector equation of line passing through two points with position vector \(\vec{a}\) and \(\vec{b}\) is \(\vec{r} = \vec{a} +\lambda(\vec{b}+\vec{a})\)
Statement II: The vector equation of a straight line passing through a fixed point with position vector \(\vec{a}\) and parallel to a given vector \(\vec{b}\) is \(\vec{r}=\vec{a}+λ\vec{b}\) where λ is scalar.
In the light of the above Statements, choose the most appropriate answer from the options given below :
Given below are two statements:
Statement I: The vector equation of line passing through two points with position vector \(\vec{a}\) and \(\vec{b}\) is \(\vec{r} = \vec{a} +\lambda(\vec{b}+\vec{a})\)
Statement II: The vector equation of a straight line passing through a fixed point with position vector \(\vec{a}\) and parallel to a given vector \(\vec{b}\) is \(\vec{r}=\vec{a}+λ\vec{b}\) where λ is scalar.
In the light of the above Statements, choose the most appropriate answer from the options given below :
Statement I: The vector equation of line passing through two points with position vector \(\vec{a}\) and \(\vec{b}\) is \(\vec{r} = \vec{a} +\lambda(\vec{b}+\vec{a})\)
Statement II: The vector equation of a straight line passing through a fixed point with position vector \(\vec{a}\) and parallel to a given vector \(\vec{b}\) is \(\vec{r}=\vec{a}+λ\vec{b}\) where λ is scalar.
In the light of the above Statements, choose the most appropriate answer from the options given below :
Updated On: Mar 21, 2024
- Both Statement I and Statement II are correct
- Both Statement I and Statement II are incorrect
- Statement I is correct but statement II is incorrect
- Statement I is incorrect but statement II is correct
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The Correct Option is D
Solution and Explanation
The correct answer is(D): Statement I is incorrect but statement II is correct
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