Sof
ic
ment
9. Let ε, and ε, be the angles made by à and - A with the
positive X-axis. Show that tang, = tanɛ,. Thus, giving
tane does not uniquely determine the direction of A.
it
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If a vector A makes α with x-axis then -A makes an angle (π+α) = β with same positive direction of x-axis ==> Tanβ = Tan(π+α) = Tanα……..QED So yes if we only give Tanθ of a vector where θ is the angle made by the x-axis, it doesn’t uniquely determine the direction of vector.
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