- #1
Leelakrishna23
- 6
- 1
Homework Statement
If a vector makes 45 degrees and 60 degrees with x-axis and y-axis respectively then the angle it makes with z-axis is equal to
What is the Angle of a Vector with x, y, and z Axes?
Click For Summary
Homework Help Overview
The discussion revolves around determining the angle a vector makes with the z-axis, given its angles with the x-axis and y-axis. The subject area pertains to vector mathematics and direction cosines.
Discussion Character
- Exploratory, Conceptual clarification, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss the application of direction cosines and express uncertainty regarding the relationship between the angles and the equation cos²α + cos²β + cos²γ = 1. Some participants question the correctness of a proposed angle of 60 degrees.
Discussion Status
The discussion is ongoing, with participants providing guidance on the necessity of showing work for further assistance. There are multiple interpretations being explored regarding the angles and the relevant equations.
Contextual Notes
Some participants express confusion about the equation relating the direction cosines and seek clarification on its derivation and implications. There is a mention of an answer not being listed in the answer column, which adds to the uncertainty in the discussion.
If a vector makes 45 degrees and 60 degrees with x-axis and y-axis respectively then the angle it makes with z-axis is equal to
- #2
Suraj M
Gold Member
- 596
- 39
It would easier to help you if you give it a try first
You must give an attempt only then can we help you.
You must give an attempt only then can we help you.
- #3
Leelakrishna23
- 6
- 1
I've applied the concept of direction cosines to solve it but I couldn't get the answer.
- #4
Suraj M
Gold Member
- 596
- 39
Welcome to PF
I didn't know you were new around
Please go through this
https://www.physicsforums.com/threads/physics-forums-global-guidelines.414380/
You must provide your working so that we can help you out further
I hope you understand
I didn't know you were new around
Please go through this
https://www.physicsforums.com/threads/physics-forums-global-guidelines.414380/
You must provide your working so that we can help you out further
I hope you understand
- #5
Leelakrishna23
- 6
- 1
- #6
- 42,887
- 10,521
That looks like an answer. Do you think it is wrong?Leelakrishna23 said:
- #7
Leelakrishna23
- 6
- 1
Actually the answer(60 degrees) is not given in the answer column. So I just wanted to know if it's correct.
- #8
Leelakrishna23
- 6
- 1
And i didn't get the cos^2 alpha + cos^2 beta + cos^2 gama=1. Can you please explain me?
- #9
Suraj M
Gold Member
- 596
- 39
You do get 1!Leelakrishna23 said:
The answer of 60 degrees looks fine to me.
- #10
- 42,887
- 10,521
It's just Pythagoras' formula. If a unit vector from the origin makes those angles with the axes, then the cosines are the x, y, z coordinates.Leelakrishna23 said:
- #11
Leelakrishna23
- 6
- 1
Much appreciated, thank you.
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