The resultant of A- and B- makes an angle - with A- and angle - with B- - if - then-

The correct option is B A > BLets break the component of resultant vector → #160; R in direction → #160; A and → #160; B #160; #16 ...

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Byju's Answer

Standard XII

Physics

Vector Component

The resultant...

Question

The resultant of $\to A$ and $\to B$ makes an angle $α$ with $\to A$ and angle $β$ with $\to B$ , if $α < β$ then:

A < B

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A = B

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A > B

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all the above

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Solution

The correct option is B A > B
Lets break the component of resultant vector $\to R$ in direction $\to A$ and $\to B$
Then,
$∣ ∣ \to A ∣ ∣ = ∣ ∣ \to R ∣ ∣ c o s α$
$∣ ∣ \to B ∣ ∣ = ∣ ∣ \to R ∣ ∣ c o s β$
If $α < β$ then , $c o s α > c o s β$
$⟹ ∣ ∣ ∣ ⟶ A ∣ ∣ ∣ > ∣ ∣ ∣ ⟶ B ∣ ∣ ∣$
means, A>B

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The resultant of →A and →B makes an angle α with →A and angle β with →B , if α<β then:

The correct option is B A > BLets break the component of resultant vector →R in direction →A and →B Then,∣∣→A∣∣=∣∣→R∣∣cosα∣∣→B∣∣=∣∣→R∣∣cosβIf α<β then , cosα>cosβ⟹∣∣∣⟶A∣∣∣>∣∣∣⟶B∣∣∣ means, A>B

The resultant of $\to A$ and $\to B$ makes an angle $α$ with $\to A$ and angle $β$ with $\to B$ , if $α < β$ then: