Question

find the parametric representation of the following curve:straight line y=2x+2,z=7x

Answer 1

i think x =t
y = 2 + 2t
z= 7t

Answer 2

@amistre64 give out the explanation, please

Answer 3

lol, you answered it, you explain it :)

Answer 4

how i can find the value of t den?

Answer 5

@amistre64 , please,

Answer 6

t is the parameter that the others are valued by, hence, parameterixed

Answer 7

but the answer is like....r(t)=[t,3+2t,7t] how?

Answer 8

we can write this as:

x = 0 + 1x
y = 2 +2x
z = 0 + 7x

let x=y on the right side

x = 0 + 1t
y = 2 +2t
z = 0 + 7t

Answer 9

r(t) = <x(t),y(t).z(t)>

r(t) = <x,y,z> as defined

Answer 10

r is a vector from the origin to the point (x,y,z)

Answer 11

the point (x,y,z) changes as "t" changes

x = t
y = 2+2t
z = 7t

r = (t,2+2t,7t)

Answer 12

how i can write x=0+1x?

Answer 13

is 0+1x = x a true statement?

Answer 14

its true but why did u use 0 here?

Answer 15

wat abot the following qst: ellipse x^2+y^2=1 , z=y pls help me out

Answer 16

because its a way to express the x component as a sum of the starting point (or vector) and the direction of the x component is heading (the line vector)