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  • Let  are such two vectors such that <img alt="\vec{b}=5\vec{a}" src="https://lea

Let \vec{a},\vec{b} are such two vectors such that \vec{b}=5\vec{a} and \left | \vec{a} \right |=2 than \left | \vec{b} \right | equals

Option: 1

\frac{2}{5}


Option: 2

\frac{5}{2}


Option: 3

10


Option: 4

\frac{1}{10}


Answers (1)

As we learned

Scalar multiplication -

If \vec{a} is a vector and m is a scalar, then m\vec{a} is a vector whose modulus is m times \vec{a} .

-

\because \vec{b}=5\vec{a}\Rightarrow \left | \vec{b} \right |=5\left | \vec{a} \right |\Rightarrow \left | \vec{b} \right |=5\times 2=10

So, option(C)

 

 

Posted by

Sumit Saini

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