Question:
Given below are two statements:
Statement I: Three points with position vectors \(\vec{a},\vec{b},\vec{c}\) are collinear if there exists scalars x,y,z not all zero such that \(x\vec{a} + y\vec{b} + z\vec{c} = 0\), where x+y+z=0.
Statement II: Scalar product and vector product are both commutative.
In the light of the above Statements, choose the most appropriate answer from the options given below :
Given below are two statements:
Statement I: Three points with position vectors \(\vec{a},\vec{b},\vec{c}\) are collinear if there exists scalars x,y,z not all zero such that \(x\vec{a} + y\vec{b} + z\vec{c} = 0\), where x+y+z=0.
Statement II: Scalar product and vector product are both commutative.
In the light of the above Statements, choose the most appropriate answer from the options given below :
Statement I: Three points with position vectors \(\vec{a},\vec{b},\vec{c}\) are collinear if there exists scalars x,y,z not all zero such that \(x\vec{a} + y\vec{b} + z\vec{c} = 0\), where x+y+z=0.
Statement II: Scalar product and vector product are both commutative.
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 B
Solution and Explanation
The correct answer is(B): Both Statement I and Statement II are incorrect
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