Kinematics Question 582
Question: Vector $ \overrightarrow{A} $ makes equal angle with x, y and z-axis. Value of it’s components in terms of magnitude of $ \overrightarrow{A} $ will be
Options:
A) $ \frac{\overrightarrow{A}}{\sqrt{3}} $
B)$ \frac{\overrightarrow{A}}{\sqrt{2}} $
C) $ \sqrt{3}\overrightarrow{A} $
D)$ \frac{\sqrt{3}}{\overrightarrow{A}} $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] Let the components of $ \vec{A} $ make angles $ \alpha $ ,$ \beta $ and $ \gamma $ with x, y and z-axis respectively then $ \alpha =\beta =\gamma $ and $ cos^{2}\alpha +cos^{2}\beta +cos^{2}\gamma =1 $
