Let u = . Find the unit vector in the direction of u, and write your answer in component form.

Question

Let u = <4, 3>. Find the unit vector in the direction of u, and write your answer in component form.

anonymous · Answer

The unit vector of a vector is calculated by dividing the vector by its length. This way, it will keep its direction but have length one.

parthkohli · Answer

|dw:1359298602605:dw|

anonymous · Answer

i got <4/5, 3/5> would that be correct?

parthkohli · Answer

Yesh!

anonymous · Answer

ok:) thnk you !

anonymous · Answer

could u help me on this??.. 
Two forces with magnitudes of 200 and 100 pounds act on an object at angles of 60° and 170° respectively. Find the direction and magnitude of these forces. Round to two decimal places in all intermediate steps and in your final answer.

anonymous · Answer

Indeed :) Check the length of the vector if you want to be sure, but you will find:
$$\sqrt{\left(\frac{ 4 }{ 5 }\right)^2 + \left( \frac{ 3 }{ 5 } \right)^2} = \sqrt{\frac{ 16 + 9 }{ 25 }} = 1$$

anonymous · Answer

then 1 is the answer?

anonymous · Answer

thats to the problem i just did.. how would i do the second one i asked?

anonymous · Answer

One is the length of the unit vector you just created :)

anonymous · Answer

ohokay, and do you think u could  help me on this??.. 
Two forces with magnitudes of 200 and 100 pounds act on an object at angles of 60° and 170° respectively. Find the direction and magnitude of these forces. Round to two decimal places in all intermediate steps and in your final answer.