Two vectors ` vec A and vec B` are added. Prove that the magitude of the resultant v ector can bot be greater than ( A +B) and smaller than (A - B) or (B -A).

Two vectors ` vec A and vec B` are added. Prove that the magitude of t

1.	Two vectors ` vec A and vec B` are added. Prove that the magitude of the resultant v ector can bot be greater than ( A +B) and smaller than (A - B) or (B -A).
Answer» The magnitude of resultant vector ` vec R` of two vectors ` vec Aand vec B` is given by ` R =sqrt ( A^2 + B^2 + 2 AB cos theta ) ` Case 9i). `R` will be maximum if ` cos theta =1 or theta =180^@` then ` R =sqrt( A^2 + B^2 + 2 AB (1))` = `(A = B) or (B -A)`.

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Two vectors ` vec A and vec B` are added. Prove that the magitude of the resultant v ector can bot be greater than ( A +B) and smaller than (A - B) or (B -A).

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