Vectors+&+Parametric

//a quantity with both magnitude and direction. the  notation implies that the vector starts at (0,0) and ends at (x,y).// __Magnitude__: (absolute value of big V)
 * __Vectors__**

//a vector with the same direction as the original vector but with a magnitude of 1// Unit vectors are usually marked with a "^" above them, as shown below. Another way of putting the above: Given vectors A <5, 7> and B <8,-2> the sum is just <13,5>
 * __Unit Vectors__**
 * __Sum of Vectors__**

< X, Y > + < x, y > = < X+x , Y+y >

Given vector A <5,7>. 2A is just 2<5,7> which can be simplified to <10, 14>
 * __(Constant) * (Vector)__**

k * < X, Y > = < k*X , k*Y >


 * __Dot/Scalar Product (u * v)__**

Polar way to find it:

Rectangular way to find it:

Two vectors are __orthogonal__ if dot product = 0


 * __Cross/Vector Product (u x v)__**

Magnitude:

(Found by solving for theta in dot product formula)
 * __Angle Between 2 Vectors__**

Or, if you have the unit vectors of a and b, you can just use their dot product:

//Vertical component:// //Horizontal component://
 * __Vertical and Horizontal Components of Vectors__**