Vector Algebra
Magnitude and direction of a vector
Magnitude of a vector using L1 and L2 Norm Direction of a vector
Sum and difference of vectors
Sum of Vectors 
Difference of Vectors
Distance between vectors
Multiplying a vector by a scalar
The dot product
The dot product L2-norm = sqrt(dot product of a vector with itself)
Norm of a vector using dot product
Geometric Dot Product
Two vectors are orthogonal if their dot product is zero
Dot product of Orthogonal vectors 
Dot product of two vectors The sign of a dot product of two vectors can be either positive, zero or negative. If the dot product is positive it is because the projection of one vector on to the other is in the same direction. If the dot product is negative then the projection of a vector on the other is in opposite direction
Sign of a Dot Product 
Geometric Dot Product of two vectors
