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Earn +20 ptsQ: Can three vectors add up to zero if they are not coplanar?
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How can you add three vectors of equal magnitude in a plane such as their resultant is zero?
Take any three vectors in a plane which, when placed end-to-end form a triangle. The resultant of the three vectors will be zero.
Can three vectors of different magnitudes and directions add to zero?
yeah
Is it is possible to add three vectors of equal magnitude and get zero?
Yes. Vectors contain both magnitude and direction. Graphically three vectors of equal magnitude added together with a zero sum would be an equilateral triangle.
Is it possible to add three vectors of equal-magnitude but different direction to get zero vector?
Yes, it is possible to add three vectors of equal magnitude but different directions to get a zero vector. This occurs when the vectors are arranged in a way that their directions cancel each other out. Mathematically, this can happen when the vectors form a closed triangle or when they are evenly spaced around a circle.
Is it possible to add two vectors of unequal magnitudes an get zero?
No.
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