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Three vectors sum to zero under the condition that they are coplanar (lie in a common plane) and form a triangle. If the vectors are not coplanar, they will not sum to zero.
Another way of looking at it is that the sum is zero if any vector is exactly equal in magnitude and opposite in direction to the vector sum (so-called resultant) of the remaining two.
What else can I help you with?
Can two vectors having different magnitudes be combined to give a zero resultant can three vectors?
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.
Can two vectors having different magnitudes be combined to give a zero resultant.is it possible for three such vectors?
Yes, two vectors with different magnitudes can be combined to give a zero resultant if they are in opposite directions. However, it is not possible for three vectors with different magnitudes to give a zero resultant because they must have specific magnitudes and directions to cancel each other out completely.
Can three vectors not lying in plane give zero resultant?
Yes, three vectors that do not lie in the same plane can give a zero resultant if they form a closed triangle. This can happen when the vectors cancel each other out due to their directions and magnitudes.
Can three vectors lying in plane give zero resultant?
yes the resultant of the two vectors can be zero.it can be illustrated by drawing following diagram.a triangle may be considered as a vector diagram in which the force polygon close and the resultant of the three vectors is zero.
Why can three vectors add up to zero if they are not coplanars?
In 3-dimensions, each vector can always be resolved into three orthogonal components.If there are three vectors, then the sum of their components will be some numberin each of the orthogonal directions. All you need is for each group of componentsto add up to zero, and you have a zero resultant of the vectors.Hoping that you've met up with the concept of "unit vectors", we'll offer an example:Vector A: 1i + 1j + 1kVector B: 1i - 2j - 1kVector C: -2i + 1jA + B + C = (1+1-2)i + (1-2+1)j + (1-1)k = 0i + 0j + 0k= zero magnitude
What is the three vectors arrangement if their resultant is zero?
A triangle of vectors, in which the sides are the three vectors arranged head-tail.
Can two vectors having different magnitudes be combined to give a zero resultant can three vectors?
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.
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 magnitude be combined to give a zero resultant and can three vectors?
Yes.
Is it possible to combine two vectors of different magnitude to give a zero resultant if not can three vectors be combine?
Two vectors: no. Three vectors: yes.
How do you show that that the three vectors are coplanar?
Three vectors are coplanar if they sum to zero. V1 + V2 + V3 = o means the three vectors are coplanar.
Can two vectors having different magnitude be compined to give a zero resultant can three vector?
Two vectors, no; three vectors yes.
What is the triangle law of vectors?
If three vectors form a triangle , their vector sum is zero.
If Three vectors are co-planner then there product is?
Zero
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.
He vector sum of three vectors gives a zero resultant what can be orientation of the vectors?
The orientation of the three vectors that sum to zero must be coplanar, contained in the same common plane, including being contained in a common line in a plane.
Can three vectors add up to zero if they are not coplanar?
yes
