Pre-Cal Chapter 8 Section 3 Vectors in 3

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Pre-Cal Chapter 8 Section 3

Vectors in 3-D

http://www.waterproofpaper.com/graph-paper/isometric-graphing-paper.pdf

Use 3-D graph paper to locate the point (4, -8, 6)

Let P

1

 x y z

1 1 1

be the initial point of a vector that terminates at P

2

 x y z

2 2 2

.

The ordered pair that represents the vector P P is x

2

1

,

2

1

,

2

 z

1 and the magnitude of the vector P P is

 x

2

 x

1

  y

2

 y

1

  z

2

 z

1

2

Write the ordered triple that represents the vector CD from

C

     

CD .

If u = 4, 2, 6 and v = 1, 7,1 , then find u

4v

A water snake swims around small rocks and brush along a river bank.

Suppose the snake’s head swims through points (0, 2, 5) and

(4, 0, 3), in which each unit represents one meter. What is the magnitude of the snake traveled in going between the 2 points?

Unit Vectors in 3-D i = 1, 0, 0 j = 0,1, 0 k = 0, 0,1

Write AB as the sum of unit vectors for A

     

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