I have some questions on a paper that I am typing up, and I've looked through my text book and I cannot find this, or I just don't know where to look.
-Explain how to write a vector in terms of it's magnitude and direction.
Hello Chinnie15I'm not sure that there is any particular way to write a vector in terms of its magnitude and direction.
You can describe a vector in terms of its magnitude and direction by giving several examples; for instance:
... and so on.
- The displacement vector of a point $\displaystyle B$ from a point $\displaystyle A$ can be written as $\displaystyle \vec{AB}$ and would be described in terms of the distance $\displaystyle AB$ (in suitable units) and the angle that the line segment $\displaystyle AB$ measured from a fixed direction. E.g. $\displaystyle AB = 5$ units in a direction making an angle of $\displaystyle 30^o$ with the direction of the $\displaystyle x$-axis.
- The velocity vector of a moving body can be described in terms of the speed of the body and the direction of its motion at a particular instant. E.g. a shell is fired in a north-easterly direction at $\displaystyle 300$ m/sec at an angle of $\displaystyle 45^o$ above the horizontal.
Grandad