Question

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.

Answer 1

Answer:

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