PH 201 Pre-Lab 02

Vectors

Name

Solutions

 

1. What are the x and y components (include appropriate signs) of the vector given by 40.0 N at an angle of 335˚ from the +x axis?

 

 

36.3 N

 

 

-16.9 N

 

2.Two vectors are given by  and  .

Find in component form :

 

 

 

=

 

 

 

 

==

 

 

 

 

=

 

3. What is the magnitude and direction of the vector

 

Since  and  are at right angles we can use the Pythagorean theorem.

 

 

The angle q which is with respect to  axis is found by:

 

 

 

 

Note that negative y and positive x implies 4th quadrant so – 60.3 makes sense.

 

Magnitude =

8.06

 

 

Direction (q) =

-60.3° or 299.7°

 

 

 

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This page last updated on January 11, 2020