Suppose i have a vector that is 7 units long and that makes an angle of +30 degrees from the positive x-axis. i want to add to this a vector that is also 7 units long and that makes an angle of 120 degrees from the positive x-axis. what is the correct (x, y) representation of the sum of these two vectors?

sum of these two vectors is 6.06i+3.5j-3.5i+6.06j = 2.56i+9.56j

Explanation:

We have given first vector which has length of 7 units and makes an angle of 30° with positive x-axis

So x component of the vector

y component of the vector

So vector will be 6.06i+3.5j

Now other vector of length of 7 units and makes an angle of 120° with positive x-axis

So x component of vector  

y component of the vector

Now sum of these two vectors is 6.06i+3.5j-3.5i+6.06j = 2.56i+9.56j

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