math help

hw_2.pdf

Components of Vectors Handouts

Part A In exercises 1 – 4, vectors A and B form a right angle. Find the magnitude and direction (the angle from

vector A) of the resultant.

1. A = 14.7 2. A = 592 B = 19.2 B = 195

In exercises 3 – 12 with the given sets of components, find R and θ.







11,39 .10 246.1 ,6941.0 .9

20,20 .8 2030 ,646 7. .2097 ,729 .6

56.2 ,982.0 .05.52 ,6.89 .4 56.8 ,18.5 3.

yxyx

yxyxyx

RRRR

RRRRRR

Part B In exercises 1 – 4, find the horizontal and vertical components of the vectors shown. The magnitude for

each vector is 750.

In exercises 5 – 12, find the x- and y- components of the given vectors by use of trigonometric functions.



5.22 ,8.67Magnitude 12. 83.301 ,806.1Magnitude .11

5.156 ,400,16Magnitude 10. 3.283 ,04.9Magnitude .9

3.197 ,65.2Magnitude 8. .0145 ,8.76Magnitude 7.

273 ,9750Magnitude 6. 68.0 8.60,Magnitude .5



Part C In exercises 1 – 3, write each vector in component form, <a, b>.

1. 2. 3.

In exercises 4 – 6, find the horizontal and vertical components for the following vectors.

4. 50v,20  

 5. 26v,6.50  

 6. 8.47v,0535  



Part D In exercises 1 – 10, add the given vectors using trigonometric functions and the Pythagorean Theorem.

1. 2. 3.

5. 6. 7.

8. 9. 10.