1. Two vectors have magnitudes of 12 units each. These vectors are making angles 30 and 120with x – axis respectively. The x and y components of their resultant are
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This is just breaking the vectors into x-components (=10N*cos(angle)) and y-components (=10N*sin(angle)), and then adding them together.
Or you can picture the vectors and see that 60 degrees and 120 degrees are symmetric and opposite compared to the 90-degree y-axis. That means that the result, the two added together, will be straight up in the y-direction with magnitude 2*10N*sin(60) or 2*10N*sin(120), they give the same value.
Aside: if you use Excel, you need to convert 120 degrees into radians with an equation like =2*10*SIN(RADIANS(120))
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