The resultant of \overrightarrow{A} and \overrightarrow{B} makes an angle \alpha with \overrightarrow{A} and \beta with \overrightarrow{B}, then :-

  • Option 1)

     \alpha \propto \beta

  • Option 2)

    \alpha < \beta \, \, if\, \, A< B

  • Option 3)

    \alpha < \beta \, \, if\, \, A> B

  • Option 4)

    \alpha <\beta \, \, if\, \, A= B

 

Answers (1)

As we discussed in concept

Parallelogram law of vector Addition -

If two vector are represented by both magnitude and direction by two adjacent side of parallelogram taken from same point then their resultant is also represented by both magnitude and direction taken from same point but by diagonal  of parallelogram.

- wherein

Represents  law of parallelogram vector Addition

 

if\: A>B \:then\: \alpha <\beta


Option 1)

 \alpha \propto \beta

Option is incorrect

Option 2)

\alpha < \beta \, \, if\, \, A< B

Option is incorrect

Option 3)

\alpha < \beta \, \, if\, \, A> B

Option is correct

Option 4)

\alpha <\beta \, \, if\, \, A= B

Option is incorrect

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