The study of objects in motion and forces acting upon them relies heavily on using vectors. Thus, having an understanding of vectors is very important. So… we should talk about this…A vector is a concept connected to quantities that specifies a magnitude and a direction. Answering many physics questions about the world around us best done by using vectors.
It is very, very common to draw diagrams showing how vector quantities are acting on an object. Usually, there will be some sort of reference thing… the horizon… the plane of a ramp… often, the x-y axis thingy. (Thingy? Really? That's the best you can do?)
- The direction that the arrow points indicates the vector's… direction.
- The length of the arrow represents its magnitude.
Vector arrows have a tail and a head. The pointy end is the head.
Component vector: Any individual vector having magnitude and direction within a given frame of reference.Component vectors can be combined into a resulting vector (or the resultant vector).
A resultant vector can be broken down into its component vectors.
|The blue vector is translated to the end of the green vector, and|
the red vector is the resultant vector.
∆d = d1 + d2 + d3 + d4Where left is positive and right is negative,d1 = 10 md2 = -4 md3 = 2 md4 = -3 m∆d = (10 + (-4) + (2) + (-3)) m∆d = 5 m left
- Its magnitude can be found using the Pythagorean Theorem.
- Its angle can be found using arctan (inverse tangent).
MORE TO COME!