The maximum and minimum magnitude of the resultant of two given vectors are 17 and 7 respectively, these two vectors are right angles to each other, find the magnitude of their resultant.
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Let the vectors are a and b.
According to the to the question,
a+b=17 & a-b=7
Adding the above equations,
2a = 24
=>a=12 unit
Therefore, b =5 unit
If these two vectors are at a right angle to each other, the magnitude of their resultant is -
=√(5²+12²) unit
=√169 unit
=13 unit
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