Question

let a and b be the two vectors of magnitude 12 and 16 units respectively. If they form the angle of 53 degrees with each other. Find magnitude and direction of the resultant.​

Answer 1

Answer:

R=P2+Q2+2PQcosθ−−−−−−−−−−−−−−−−−√  

(a) =(6)2+(8)2+2×6×8×cos60−−−−−−−−−−−−−−−−−−−−−−−−−√=148−−−√unit

(b) =(6)2+(8)2−−−−−−−−−√=10unit

(c ) =(6)2+(8)2+2×6×8×cos120−−−−−−−−−−−−−−−−−−−−−−−−−−√

=(36+64+2×48×(−1/2)=52−−√unit

Explanation: