Engineering Calculus Notes 60

# Engineering Calculus Notes 60 - 48 CHAPTER 1 COORDINATES...

This preview shows page 1. Sign up to view the full content.

48 CHAPTER 1. COORDINATES AND VECTORS −→ g θ Figure 1.27: A weight on a ramp parallel to the ramp. Then −→ g is cancelled by the structural forces in the ramp, and the net unopposed force is −→ g bardbl , the projection of −→ g in the direction of the ramp. To abstract this situation, recall that a direction is specified by a unit vector. The (vector) projection of an arbitrary vector −→ v in the direction specified by the unit vector −→ u is the vector proj −→ u −→ v := ( | −→ v | cos θ ) −→ u where θ is the angle between −→ u and −→ v (Figure 1.28 ). Note that replacing −→ u proj −→ u −→ v F −→ v θ Figure 1.28: Projection of a Vector −→ u with its negative replaces θ with π θ , and the projection is unchanged: proj −→ u −→ v = ( | −→
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern