IIT JEE , AIEEE Forum - Mathematics , Vectors

devesh_l2k007

}p+q|=|p|

sq and sove to get

cos

= -q/2p

sin theta = root(4p²-q^2))//2p

tan omega = 2p sin theta / 2p + qcos theta \

2p + qcos theta =0

2>

f1= ai + bj

f2= c i + d j

f1+ f2 = a+c i + b+d j

f1 - f2 = a-c i + b-d j

cot theta1 = a+c /b+d

cot theta 2 = a-c/b-d

cot thetta 1 = -1 /cot theta2

sol ve

get

a²-c²=d²-b²

^hence

A sq+ b sq = c sq + d sq

abt the third see magiclkos soln

Rate me for my efforts pls