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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.
Wiki User
∙ 12y ago
Wiki User
∙ 12y agoI guess if the vectors have the same magnitude and all act at 120 degrees to each other, then the resultant will be zero.
also if three vectors are represented as three sides of a triangle taken in same order the resultant is zero
Wiki User
∙ 11y agoYes, if they form a closed figure such that the head of first coincides with the tail of second and head of second with the tail of third and head of third with the tail of first.Then the resultant will be zero because resultant is directed distance from first vector's tail to the last vector's head.In this case the distance comes out to be zero.
Yes, three vectors lying in a 2D plane can give a zero resultant if they form a closed triangle or if they are linearly dependent.
Wiki User
∙ 11y agoYes.
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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 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.
What is the minimum number of vectors having different planes which can be added to give zero resultant?
you'll need at least three. Think of them as being connected. To have a zero resultant, putting the vectors together head to tail should form a closed shape. The first vector can be in any direction. The second vector starts where the first ended, and extends in a different plane. The last vector starts from where the second ended and extends to the beginning of the first vector. The three end up making a triangle, which gives you a zero resultant
Under what condition the sum of three vectors will be zero?
The sum of three vectors will be zero if they can form a closed triangle when arranged tip-to-tail. This means the vectors must have magnitudes and directions that cancel each other out to form a closed loop with no resultant vector.
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.
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.
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 of equal magnitude be combined to give a zero resultant?
Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.
Can three vectors not in one plane give zero resultant?
No. For three vectors they must all lie in the same plane. Consider 2 vectors first. For them to resolve to zero, they must be in opposite direction and equal magnitude. So they will lie along the same line. For 3 vectors: take two of them. Any two vectors will lie in the same plane, and their resultant vector will also lie in that plane. Find the resultant of the first two vectors, and the third vector must be along the same line (equal magnitude, opposite direction), in order to result to zero. Since the third vector is along the same line as the resultant vector of the first two, then it must be in the same plane as the resultant of the first two. Therefore it lies in the same plane as the first two.
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.
If the resultant of three vectors is zero they must be will in the same plane?
Not necessarily. Suppose you have three vectors (ax + by + cz), (gx + hy +iz) and (mx + ny + oz) then as long as a+g+m = b+h+n = c+i+o = 0 the resultant is zero.
Can three vectors of different magnitude be combined to give a zero resultant and can three vectors?
Yes.
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.
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.
Can two vectors having different magnitude be compined to give a zero resultant can three vector?
Two vectors, no; three vectors yes.
Cross product is not difine in two space why?
When performing the cross product of two vectors (vector A and vector B), one of the properites of the resultant vector C is that it is perpendicular to both vectors A & B. In two dimensional space, this is not possible, because the resultant vector will be perpendicular to the plane that A & B reside in. Using the (i,j,k) unit vector notation, you could add a 0*k to each vector when doing the cross product, and the resultant vector will have zeros for the i & jcomponents, and only have k components.Two vectors define a plane, and their cross product is always a vector along the normal to that plane, so the three vectors cannot lie in a 2D space which is a plane.
Can three vectors of different magnitudes be combined to form a zero resultant?
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