6.4

Mere som dette

The Map of Trigonometric Functions

af selina stinson

MEDICINAL PLANTS AND THEIR BENEFITS

af Monica Caiza

What is matter?

af Selene Weightman

VM266 0847

af Rico Tan

What is a dot product?

The product of a vector and a scalar that yields a scalar

Dot Product of u = and v=

u*v=u1v1 + u2v2

Vector Components

w1=projvU

u=w1+w2

u and v are orthogonal if u * v = 0

w2=u-w1

w1 and w2 are orthogonal and w1 is parallel to v

u and v are non zero vectors

Angle Between Two Vectors

cos θ=(u*v)/(ll u ll ll v ll)

Properties of the Dot Product

u*(v+w)=u*v+u*w

0*v=0

u*v=v*u

c(u*v)=cu*v=u*cv

v*v=llvll^2

Definition of Work

Work= F * PQ--->

Projection of u onto v

ProjvU=((u*v)/( ll v ll^2)v

The Dot Product of Two Vectors