Question

63. The maximum and minimum magnitude of the resultant<br />of two given vectors are 17 units and 7 unit respectively.<br />If these two vectors are at right angles to each other, the<br />magnitude of their resultant is<br />(a) 14<br />(b) 16<br />(c) 18<br />(d) 13​

Answer 1

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