ch2_5lecture - 3 D VECTORS(Section 2.5 Todays Objectives...

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

View Full Document Right Arrow Icon
3 – D VECTORS (Section 2.5) Today’s Objectives : Students will be able to : a) Represent a 3-D vector in a Cartesian coordinate system. b) Find the magnitude and coordinate angles of a 3-D vector c) Add vectors (forces) in 3-D space
Background image of page 1

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

View Full Document Right Arrow Icon
APPLICATIONS Many problems in real-life involve 3-Dimensional Space. How will you represent each of the cable forces in Cartesian vector form?
Background image of page 2
APPLICATIONS (continued) Given the forces in the cables, how will you determine the resultant force acting at D, the top of the tower?
Background image of page 3

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

View Full Document Right Arrow Icon
A UNIT VECTOR Characteristics of a unit vector : a) Its magnitude is 1. b) It is dimensionless. c) It points in the same direction as the original vector ( A ). The unit vectors in the Cartesian axis system are i , j , and k . They are unit vectors along the positive x, y, and z axes respectively. For a vector A with a magnitude of A, an unit vector is defined as U A = A / A .
Background image of page 4
Consider a box with sides A X , A Y , and A Z meters long. The vector A can be defined as A = ( A X i + A Y j + A Z k ) m The projection of the vector A in the x-y plane is A ´ . The magnitude of this projection, A´, is found by using the same approach as a 2-D vector: A´ = (A X 2 + A Y 2
Background image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 14

ch2_5lecture - 3 D VECTORS(Section 2.5 Todays Objectives...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online