If the resultant vector of A- and B- makes an angle - with A- and - with B- Then -

The correct option is C α B Form the figure, component of resultant vector A=Rcosα #160; B=Rcosβ #160; If α lt;β Then, #160; ...

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Byju's Answer

Standard XII

Physics

Multiplication with Vectors

If the result...

Question

If the resultant vector of $\to A$ and $\to B$ makes an angle $α$ with $\to A a n d β$ with $\to B$ , Then :

α < β

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α < β

A < B

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α < β

A > B

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α < β

A = B

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Solution

The correct option is C $α < β$ if $A > B$
Form the figure, component of resultant vector
$\to A = \to R cos α$
$\to B = \to R cos β$
If $α < β$
Then, $cos α > cos β$
$\to R cos α > \to R cos β$
Hence, $h e n c e, \to A > \to B$

So, we can say that, if $\to A > \to B, α < β$

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If the resultant vector of →A and →B makes an angle α with →Aandβ with →B, Then :

The correct option is C α<β if A>BForm the figure, component of resultant vector→A=→Rcosα →B=→Rcosβ If α<β Then, cosα> cosβ →Rcosα> →Rcosβ Hence, hence, →A> →B So, we can say that, if →A>→B,α<β

If the resultant vector of $\to A$ and $\to B$ makes an angle $α$ with $\to A a n d β$ with $\to B$ , Then :

The correct option is C $α < β$ if $A > B$
Form the figure, component of resultant vector
$\to A = \to R cos α$
$\to B = \to R cos β$
If $α < β$
Then, $cos α > cos β$
$\to R cos α > \to R cos β$
Hence, $h e n c e, \to A > \to B$

So, we can say that, if $\to A > \to B, α < β$