Operaciones matemáticas y vectores

y=4x-1

p (0,-1) d(1,4)

v.d= (x,y).(1,4)=
x+4y   x=-4y

x=0+t  x=t

y=-1+4t  y-1/4=t

=y-1/4=x

y-1/4=-4y

y-1=-16y

y+16y=1

17y=1

y=1/17

x+4.1/17=0

x+4/17=0

x=-4/17

c) v x w
v (3,1)= (1.0-3.0,0,0.0-0.3,3.-5-0.1)
w (0,-5)=  0-0, 0-0, -15-0
                (0,0 , -15)

d) w x v
w(0,-5)= (0-0,0-0,0.1-3.1)
           =(0,0,0-3)
           =(0,0,-3)

a) 4√ 28-2√ 20+5√ 45-11√ 5
=4.2√ 7-2.2√ 5+5.3√ 5-11√ 5
=8√7-4√5+15√5-11√ 5
=8√7+0
=8√7//

b)3√2√ 3 . √3√2
=3√2√3.3√2
=3√6√3.√2
=3√6√6
=3√√6.6 2
=3√√6 3 = 6√6 3 √6//

c)√(3-v7).(3+√7)
= 9+ 3√7 . -3√7 -√49
= 9-√49
=√9-7
=√2//

a) v . w
(3,1) x (0,-5)
(3x0)+(1,-5)
0 + -5
-5

b) v+u - v
(3,1)+(-5,2)-(3,1)
(3+(-5) , (1+2)
3-5          3
(-2 3) - (3,1)
((-2)-3) , (3-1)
(-5 , +2)