If the sum of their components in any two orthogonal directions is zero, the resultant is zero.
Alternatively, show that the resultant of any two vectors has the same magnitude but opposite direction to the third.
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∙ 11y agoTake any three vectors in a plane which, when placed end-to-end form a triangle. The resultant of the three vectors will be 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.
With three vectors spaced 120 degrees apart and with identical magnitudes the vector sum will be 0.
Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.
Yes, if the three vectors are starting from the same point and are directed at 120 degrees between each two vectors.
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.
Yes. Vectors contain both magnitude and direction. Graphically three vectors of equal magnitude added together with a zero sum would be an equilateral triangle.
Yes, two vectors of different magnitudes can be combined to give a zero resultant if they are equal in magnitude but opposite in direction. For three vectors to give a zero resultant, they must form a closed triangle or meet at a common point where the sum of the vectors equals zero.
With three vectors spaced 120 degrees apart and with identical magnitudes the vector sum will be 0.
Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.
Yes, if the three vectors are starting from the same point and are directed at 120 degrees between each two vectors.
Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.
When the angle between two vectors is zero ... i.e. the vectors are parallel ... their sum is a vector in thesame direction, and with magnitude equal to the sum of the magnitudes of the two original vectors.
A triangle of vectors, in which the sides are the three vectors arranged head-tail.
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
Only if one of them has a magnitude of zero, so, effectively, no.
Yes.