the maximum value of magnitude of resultant of two vectors a vector and b vector is
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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 .
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ist answer is ryt my ans is also same so i not describe my answer
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