Physics, asked by gvallisankar78, 6 months ago

the maximum value of magnitude of resultant of two vectors a vector and b vector is​

Answers

Answered by makimajmakima
1

Answer:

If the ratio of the maximum and minimum magnitude of the resultant of two vectors,  a⃗   and  b⃗ ,  is  3:1,  then what is the magnitude of  a⃗   in terms of  b⃗ ?  

Let us assume without loss of generality that  |a⃗ |>|b⃗ |  

The maximum magnitude of the resultant of  a⃗   and  b⃗   is  |a⃗ |+|b⃗ |.  

The minimum magnitude of the resultant of  a⃗   and  b⃗   is  |a⃗ |−|b⃗ |.  

It is given that the ratio of the maximum and minimum is  3:1.  

⇒|a⃗ |+|b⃗ ||a⃗ |−|b⃗ |=31.  

⇒|a⃗ |+|b⃗ |=3|a⃗ |−3|b⃗ |⇒2|a⃗ |=4|b⃗ |⇒|a⃗ |=2|b⃗ |.  

⇒  The magnitude of  a⃗   is twice the magnitude of  b⃗ .

Answered by Sandhu617
1

Answer:

ist answer is ryt my ans is also same so i not describe my answer

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