If the resultant of two forces is equal in magnitude to of them and is perpendicular to it in direction, find one the other.
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r^2 = a^2 +b^2–2ab cos z
r=a and roa =90 then z =45 , b^2 =a^2+r^2 = 2a^2 ,
so b= sq rt 2 [a] , [ the shorter diagonal of the parallelogral’
check
R^2 = A^2 +B^2 -2AB COS 45
a^2 =a^2 +2a^2 -2a [rt2]a .[1/rt2]
a^2 = 3a^2 -2a^2 is true
b= rt2[a] and makes an angle 45 degrees with the vector a.
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