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Which one of the following is not true?

Option: 1

m\left ( n\vec{a} \right )=n\left ( m\vec{a} \right )=\left ( mn \right )\vec{a}


Option: 2

\left ( m+n \right )\vec{a}=m\vec{a}+n\vec{a}


Option: 3

m\left ( \vec{a}+\vec{b} \right )=m\vec{a}+m\vec{b}


Option: 4

None of these


Answers (1)

best_answer

As we learned

Properties of Scalar multiplication -

m\left ( \vec{a} \right )=\left ( \vec{a} \right )m

m\left ( n\vec{a} \right )=n\left (m \vec{a} \right )=\left ( mn \right )\vec{a}

\left ( m+n \right )\vec{a}=m\vec{a}+n\vec{a}

m\left ( \vec{a}+\vec{b} \right )=m\vec{a}+m\vec{b}

- wherein

These are the properties of scalar multiplication.

 

 (A), (B), (C) being properties of scalar multiplication, holds time, so required answer is (D)

Posted by

Ritika Kankaria

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