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 ?