Question

Given that P+Q=R and that R is perpendicular to P. If |PI = |R|, then what is the angle between P and Q?​

Answer 1

here's your answer mate!

Answer 2

Answer:

3pie/4

Explanation:

Please find below the solution to the asked query:

Let the angle between P & Q is θ. So,

R=P2+Q2+2PQ cos θ−−−−−−−−−−−−−−−−−−√⇒P2=P2+Q2+2PQ cos θ⇒Q2+2PQ cos θ=0⇒Q+2P cos θ=0⇒2P  cos θ=−Q

Given that R is perpendicular to P. Therefore,

tan 900=Q sin θP+Q cos θ⇒P+Q cos θ=0⇒P+(−2P cos θ) cos θ=0⇒P−2P cos2 θ=0⇒2cos2 θ=1⇒cos θ=12√⇒θ=450=3pie/4