Finding a parametric form and calculating line integrals.

[YogiBear]

Homework Statement

Let C be the straight line from the point r =^i to the point r = 2j - k
Find a parametric form for C. And calculate the line integrals ∫_cV*dr and ∫_c*v x dr where v = xi-yk. and is a vector field

Homework Equations

The Attempt at a Solution

For parametric form (1-t)i + (2*t)j - t k
For second part i need help

 

[BvU]

Hello Yogi, welcome (belated) to PF !

So you have $\vec v = x \hat \imath - y \hat k$ and need $\vec {dr}$, right ?

The path is from (1,0,0) to (0,2,1) , starts at t = 0 and ends at t = 1 in the parametric form. What would be $\vec {dr}$ ?

When I think over what to do for this one, I make a little drawing and check

 

[YogiBear]

Thank you solved, it. <3