Question:
Given below are two statements:
Statement I: Let \(\vec{a}\), \(\vec{b}\), \(\vec{c}\) be three vectors. Then the scalar \((\vec{a}\times\vec{b})·\vec{c}\) is called the scalar product of \(\vec{a},\vec{b},\vec{c}\) and is denoted by \([\vec{a}\vec{b}\vec{c}]=\vec{a}·(\vec{b}\times\vec{c})\).
Statement II: \(\vec{a}\times\vec{b}\) is vector which is ⊥ to \(\vec{a}\) and \(\vec{b}\) both.
In the light of the above Statements, choose the most appropriate answer from the options given below :
Given below are two statements:
Statement I: Let \(\vec{a}\), \(\vec{b}\), \(\vec{c}\) be three vectors. Then the scalar \((\vec{a}\times\vec{b})·\vec{c}\) is called the scalar product of \(\vec{a},\vec{b},\vec{c}\) and is denoted by \([\vec{a}\vec{b}\vec{c}]=\vec{a}·(\vec{b}\times\vec{c})\).
Statement II: \(\vec{a}\times\vec{b}\) is vector which is ⊥ to \(\vec{a}\) and \(\vec{b}\) both.
In the light of the above Statements, choose the most appropriate answer from the options given below :
Statement I: Let \(\vec{a}\), \(\vec{b}\), \(\vec{c}\) be three vectors. Then the scalar \((\vec{a}\times\vec{b})·\vec{c}\) is called the scalar product of \(\vec{a},\vec{b},\vec{c}\) and is denoted by \([\vec{a}\vec{b}\vec{c}]=\vec{a}·(\vec{b}\times\vec{c})\).
Statement II: \(\vec{a}\times\vec{b}\) is vector which is ⊥ to \(\vec{a}\) and \(\vec{b}\) both.
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 A
Solution and Explanation
The correct answer is(A): Both Statement I and Statement II are correct
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