# I need help. Vector functions (1 Viewer)

### Users Who Are Viewing This Thread (Users: 0, Guests: 1)

#### afcwestwarrior

1. The problem statement, all variables and given/known data

r(t) = sin t (i) + cos t (j) + t (k)

(a) Graph the vector function

i = x

j = y

k = z

Is this correct.

Since t is in the Z direction. I'm going to assume that this graph is parallel to the XY plane.

Now I'll take

x = sin t
y = cost t

Then if you square both of these functions.

so then we get x^2 + y^2 = (sin t) ^ 2 + (cos t) ^ 2

Then this becomes x^2 + y ^2 = 1

So it's a circle. Right. Is it going to be a spring or coil on the z - axis.

#### jdougherty

Yep, that's right. The term for such a graph is a "helix".

Oh ok. Thanks.

### The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving