Given below are two statements. One is labelled as Assertion and the other is labelled as…
Mathematics · JEE Main · NTA Exams — Vectors & 3-Dimensional Geometry
STATEMENT - 1 (Assertion): Three points \(A[\vec{a}], B[\vec{b}] \text { and } C[\vec{c}]\) are collinear if \(\vec{a} \times \vec{b}+\vec{b} \times \vec{c}+\vec{c} \times \vec{a}=\overrightarrow{0}\)
STATEMENT - 2 (Reason): Points \(\overrightarrow{\mathrm{A}}, \overrightarrow{\mathrm{E}}, \overrightarrow{\mathrm{E}}\) are collinear ⇔ \(\overrightarrow{\mathrm{AB}}=\mathrm{t} \overrightarrow{\mathrm{AC}} \mathbf{V} \mathrm{t} \in \mathrm{R}\)
In the light of the above statements, choose the correct answer from the options given below:
- Both Assertion and Reason are correct and Reason is correct explanation of Assertion
- Both Assertion and Reason are correct but Reason is not correct explanation of Assertion
- Assertion is correct but Reason is not correct
- Assertion is not correct but Reason is correct
Answer
(A) Both Assertion and Reason are correct and Reason is correct explanation of Assertion
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