Angle of Vectors with X, Y, and Z Axis

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To find the angle a vector makes with the X, Y, or Z axis, use the dot product formula with the unit vectors of each axis. For the vector V = 24i + 12j - 20k, the angles can be calculated using the inverse cosine of the dot product of V with the unit vectors. A calculator can expedite this process for accuracy and efficiency. The discussion highlights the importance of understanding vector components and their relationships to the axes. Proper use of mathematical tools simplifies finding these angles.
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vectors and angle...

How can I find the angle that a vector makes with the X, Y, or Z axis?

Example: V=24i + 12j - 20k. What angle does this vector make with x, y, and z axis?
 
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How do you find the angle between two vectors in general?
 
Do i use inverse cosine?
 
Ox : (1,0,0)
Oy : (0,1,0)
Oz : (0,0,1)
V : (24,12,-20)
"Do i use inverse cosine?"
If you don't, you should use a calculator to help you find the angle, its faster. I do it all the time.
 
Thank you. I got it now.
 

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