# Give me a short explanation on how to graph?

how to graph r(t)= cost i + t j + sint k

(i,j,k) are vectors

I know that we have to put it in the form x^2+y^2= something

but im not sure how to proceed from here, you dont have to give me the answer but please give me a guide

Also should i do graphs on graph paper for university?

### 1 Answer

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- MaryLv 78 years agoFavorite Answer
Given

r(t)= cost i + t j + sint k

First combine i and k terms

r(t)_ik = √(cos^2(t) + sin^2(t))

= 1

The combine the result with j term

r(t) = √(1^2 + t^2)

= √(t^2 + 1)

Graph r against t (hyperbola) http://i39.tinypic.com/2d14514.jpg

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