8.3 Vectors

Vectors have both magnitude and velocity.
This is unlike scalar quantities, who only have one value, such as time, mass, or length.
Those kinds of quantities are much less interesting.

Furthermore, if considering one space on the x-axis "i" and one space on the y-axis to be "j", then the length of OA=2i+3j. The direction of a vector can be expressed as an angle.

When adding vectors, you add from the tail of the first to the head of the second. A third vector is created from adding two vectors of different length and direction.


The same rule applies to when adding multiple vectors.

When the vectors share the same origin, the resulting vector is the diagonal of the parallelogram formed by the original vectors.
When adding vectors A and B to equal R, R's coordinates are (a1+b1,a2+b2).

Example of Vector Components Finding the components of vectors for vector addition involves forming a right triangle from each vector and using the standard triangle trigonometry. The vector sum can be found by combining these components and converting to polar form.	Index Vector concepts
HyperPhysics***** Mechanics R Nave	Go Back

For vector R, where a=ix and b=jy, and magnitude of R=||R||, then .
In the case of the above R, .
                                          
                                          

When subtracting vector B from vector A, multiply B by -1 and then add the resulting vector to A.

Stay classy.
-Noah