Question

Resultant of two vectors P & Q is inclined at 45° to either of them. What is the magnitude of the resultant

(a) P + Q

(b) P - Q

(c) [P² + Q²]^1/2.

(d) [P² - Q²]^1/2. 

Answer 1

Answer is (c) [P² + Q²]^1/2.

Since resultant is equally inclined at 45° to both P and Q, therefore angle between P and Q is 90°.

In this case P should be equal to Q.