if a vector makes an angle 45° and 60° with x axis and y axis respectively then the angle made by it with z axis is
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Given : a vector makes an angle 45° and 60° with x axis and y axis respectively
To Find : angle made by it with z axis is
Solution:
a vector makes an angle 45° and 60° with x axis and y axis respectively
Let say angle wit z axis = a
=> Cos²45° + Cos²60° + Cos²A = 1
=> (1/2) + (1/4) + Cos²A = 1
=> Cos²A = 1/4
=> CosA = ±1/2
=> A = 60° , 120°
angle made by vector with z axis = 60° or 120°
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