{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Vectors_PLS

# Vectors_PLS - Department of Mechanical Engineering Vectors...

This preview shows pages 1–6. Sign up to view the full content.

Department of Mechanical Engineering Vectors ES 140 Section 5 Fall 2006

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Department of Mechanical Engineering Properties of Vectors Scalars : Quantities that possess only magnitude (e.g. length, area) Vectors : Quantities that posses both magnitude and direction (e.g. velocity, force)
Department of Mechanical Engineering Vector or Scalar? Examples: Speed - describes how fast something is moving. Scalar or vector? Velocity - describes how fast something is moving and in which direction. Scalar or vector? Distance - A length. Scalar or vector? Displacement - A length in a certain direction. Scalar or vector?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Department of Mechanical Engineering Vectors – Cartesian Coordinates Vectors in the XYZ coordinate system (Cartesian system) – Named for ? Vectors can be represented in many ways: By three Cartesian coordinates (x, y, z). For example (5, 7, 2) would represent a vector 5 units in the x-direction, 7 units in the y- direction and 2 units in the z-direction.
Department of Mechanical Engineering Vectors – Unit vector representation Using a set of unit vectors i , j , k , whose magnitudes are 1, and whose directions coincide with the X, Y and Z axes, we can describe the vector mathematically as P =x i + y j + z k . Thus P =5 i + 7 j +2 k , is a vector with coordinates 5, 7 and 2, respectively.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 19

Vectors_PLS - Department of Mechanical Engineering Vectors...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online