Linear algebra

Vectors in R^3

(0,0,0) and (3,4,5)

Row vectors

(1,2) (3,-4) (1,5,-6)

Vectors in R^2

(2 , -5) and (7 , 9)

X=3 y=-1 z=4

Find x,y,z such that (x-y , x+y , z-1)=(4 , 2 , 3)

Norm

Is defined as the nonnegative square root of u.u

Norm

Is denoted by ||u||=sqrt(u.u)

U.V=-9 U.W= 0 V.W=39

Let u=(1,-2,3) v=(4,5,-1) w=(2,7,4) . Find the dot products of each

Scalars

Quantities that can be represented by real numbers

U.V = 0

The vectors u and v are said to be orthogonal(or perpendicular ) if ,

Dot product

U . V

R^n or n-space

all ordered n-tuples of real numbers (x1 , x2 , x3 , . . . , xn ).

Vector

w=(w1,w2,w3..........wn) what is it termed as ?