(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let C be a straight path from (0,0) to (5,5) and let F=(y-x+2)i + (sin(y-x)+2)j.

At each point of C, what angle does F make with a tangent vector to C ?

3. The attempt at a solution

Well the displacement vector for C going from (0,0) to (5,5) is simply

C=5i+5j. The tangent vector to this would be parallel to this vector, since C is a straight line. So my tangent vector is also 5i+5j. (Does this make sense?) Now to find the angle between F and C, i chose to do a dot product between them.

The dot product yields following result.

F.C = 5y-5x+5sin(y-x).

Since y=x in the displacement vector C, can i simply say that y=x, so the dot product is zero. Therefore the tangent vector and F vector are perpendicular to each other.

Thanks in advance.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Angle between displacement vectors

**Physics Forums | Science Articles, Homework Help, Discussion**