STATEMENT - 1 (Assertion): If a , b , c are non coplanar vectors then 2 a - b +3 c , a +…
Mathematics · JEE Main · NTA Exams — Vectors & 3-Dimensional Geometry
STATEMENT - 1 (Assertion): If \(\vec{a}, \vec{b}, \vec{c}\) are non coplanar vectors then \(2 \overrightarrow{\mathbf{a}}-\vec{b}+3 \vec{c}, \vec{a}+\vec{b}-2 \vec{c}, \vec{a}+\vec{b}-3 \vec{c}\) are also non coplanar.
STATEMENT - 2 (Reason): Three vectors \(\overrightarrow{\mathrm{A}}, \overrightarrow{\mathrm{E}}, \overrightarrow{\mathrm{E}}\) are non coplanar then \(\left[\begin{array}{lll} \vec{A} & \vec{B} & \vec{C} \end{array}\right] \neq 0\).
- 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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