drawing vectors for forces

[ibeatupnerds]

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I know choice C is the only one that can be false and the others be true. But the answer says to form a triangle with the vectors to prove to yourself that they sum to zero. Any idea how?

thx

 

[BOOYA18]

if you take the length of Force root 3, and move that up exactly to the head of Force 1, then take Force 2F, place that end at the head force root 3 (new spot), the head of the force 2F will come directly at the tail of Force 1F (making a right triangle), meaning there is no movement (acceleration really) because the the vector sum is zero (back to where you started)

 

[PfNO22]

I know choice C is the only one that can be false and the others be true. But the answer says to form a triangle with the vectors to prove to yourself that they sum to zero. Any idea how?

thx

I love this one! you don't even need math...

You can only pick ONE answer, so three MUST BE TRUE!
If the point is not accelerating (D), then it MUST be moving at a constant velocity (A). Since only one of them could be wrong, they both MUST BE RIGHT! Which means (C) is not possible.

Why do math when it's not needed???