How do you find the components of a vector?

Sometimes it is more useful for us to represent a vector in terms of other vectors added together. For example, we can split a vector into the vectors pointing in the direction of our axes, we call these seperate vectors our components. These components when added together will equal our original vector. To find our components, we use trigonometry. If we know the angle between our vector and the horizontal (or x) axis, we can use the cosine function to calculate the horizontal component. Similarly, our vertical component is found using the sine function.

AS

Related Physics A Level answers

All answers ▸

Bismuth-208, which has an atomic mass of 208u and 83 protons in the nucleus, decays through the emission of 2 alpha particles and a beta-positive particle. What isotope results from this decay?


Electrons moving in a beam have the same de Broglie wavelength as protons moving in a separate beam. The proton beam moves at a speed of 3.1 x 10^4 m/s. What is the speed of the electrons?


a ball is dropped from rest off a cliff of height 50m, determine the final velocity of the ball assuming no air resistance.


Given a projectile is launched, from rest, at an angle θ and travels at a velocity V, what is the range and path of motion of the projectile? (Ignore air resistance.)