SOLUTION: Please help me solve and explain this vector problem: Write the vector with direction angle 240º and magnitude 10 in the form ai+bj. Thank you.

Algebra ->  Vectors -> SOLUTION: Please help me solve and explain this vector problem: Write the vector with direction angle 240º and magnitude 10 in the form ai+bj. Thank you.      Log On


   

Question 984334: Please help me solve and explain this vector problem:
Write the vector with direction angle 240º and magnitude 10 in the form ai+bj.
Thank you.
Found 2 solutions by Fombitz, Timnewman:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a=v%5Bx%5D=10cos%28240%29
b=v%5By%5D=10sin%28240%29
Plug that into a calculator for the complete answer.

Answer by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
Hi dear,
draw the diagrame label x-axis i and y-axis j.
Draw a vector such that the angle bewteen the vector and the x-axis is 240º
Now,
Resolve the vector alonge i and j.
i.e x-axis and y-axis.
If you try this,you will notice that,
i=10cos240
j=10sin240
add the two components,
i+j=10cos240+10in240
The vector can be written as;
10cos240i+10sin240j


=-5%2Ai-5%2Asqrt%283%29%2Aj

Which is in the form ai+bj

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Best regards,

Timnewman::