How to find the angle between the vector and x−axis?

Audrey Hall

Audrey Hall

Answered question

2023-03-25

How to find the angle between the vector and x-axis?

Answer & Explanation

Kasztelanwhd7

Kasztelanwhd7

Beginner2023-03-26Added 5 answers

Measurement of the angle between x-axis and vector:
Angle between vectors α=cos-1(a.b|a||b|).
x-axis is represented by i.
Let vector be xi+yj+zk
a.b=i.(xi+yj+zk)a.b=x[(i.i=1),(i.j=0),(i.k=0)]a=12[|v|=x2+y2+z2]a=1|b|=x2+y2+z2α=cos-1x1.x2+y2+z2
Consequently, the vector's angle with the x-axis is cos-1(x1.x2+y2+z2) .

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