Tricky Hard Vectors Question #1
Classical Mechanics
Level
2
The Angle of Inclination between the vectors P vector and Q vector is θ. If P vector and Q vector are interchanged in position, the resultant turns through an angle of Φ. Which one is correct ? and give an detailed explanation too.
None of These
cot(Φ/2) = ((P-Q)/(P+Q))*tan(θ/2)
tan(Φ/2) = ((P-Q)/(P+Q))*tan(θ/2)
tan(Φ) = ((P-Q)/(P+Q))*tan(θ/2)
cot(Φ) = ((P-Q)/(P+Q))*tan(θ/2)
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1 solution
x = (θ/2) - (Φ/2) y = (θ/2) + (Φ/2)
Find tan(x) = tan((θ/2) - (Φ/2)) and tan (y) = tan((θ/2) + (Φ/2))
From the both, split the fractions and equate the denominators. As the both denominators are same.
And then substitute tan(x) = Psinθ/Pcosθ + Q and tan(y) = Qsinθ/Qcosθ + P
And simplify.