Question

The vectors sum of two vectors of magnitude $410$ units and $20$ units can never be___.

Answer 1

Sum of vectors lies between $P+Q$ and $P-Q$.

$(P+Q)\ge R\ge (P-Q)$

$(10+15)\ge R\ge (10-15)$

$\left(25\right)\ge R\ge (-5)$

Therefore R cannot be $28$ units.