Question

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

Answer 1

Answer:

13 units

Explanation:

let the vectors be a and b.

a+b =17 _______(1)

a-b = 7 ________(2)

(1) + (2)

=> 2a = 24

=> a = 24/2 = 12 units.

substituting in (1)

=> b = 5 units.

If they are at right angle to each other then their magnitude = √(5²)+(12²)

= √169

= 13 units

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