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The maximum and minimum magnitude of the...

The maximum and minimum magnitude of the resultant of two given vectors are 17 units and 7 units respectively. If these tow vectors are at right angles to each other, the magnitude of their resultant is

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The correct Answer is:
17
`P+Q=23, P-Q=7`
`therefore 2P=30 rArr P=15`
`therefore Q=23-15=8`
If `vecP bot vecQ, R=sqrt(P^(2)+Q^(2))=sqrt(225+64)=17`
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