Can three vectors give a vector sum of zero if they are in the same plane?

The resultant of the two vectors lie in the same plane. Hence, three vectors in single plane cannot give the resultant zero. For the resultant of three vectors to be zero, resultant of two should be equal and opposite to the third.

Can the resultant of three vectors be zero if they are?

Resultant of three vectors will be zero if all of the below conditions are applicable: If the direction of resultant of those two vectors is exactly opposite to the direction of the third vector. 3. If the magnitude of resultant of two vectors is exactly equal to the magnitude of the third vector.

Under what conditions the sum of three vectors will be zero?

When all the three vectors are in sameplane and forms a triangle and sum of two sides of the triangle is greater than the third side or the sum of any two vectors isequal to third one then all the three vectors are collinear will produce their resultant zero.

Which vector when added to the vector A will result in zero vector?

The velocity vector of a stationary body is a zero vector. The acceleration vector of a body in uniform motion is a zero vector. When a zero vector is added to another vector a , the result is the vector a only.

Can 3 vectors not in a plane give zero resultant?

For the resultant of three vectors to be zero, resultant of two should be equal and opposite to the third. Here, since the three vectors do not lie in the same plane, the resultant of the two cannot be in opposite direction of the third, hence resultant can not be zero…..

Can sum of three non zero vectors give zero resultant?

(i) When three vectors are not lying in one plance, they can bot produce zero resultant. (ii) When three vectors are lying in a place and are represented in magnitude and direction by the three sides of a triangle taken in the same order, they can prokuce zero resultant.

Can the vector sum of three vectors be zero?

Originally Answered: Can the resultant of three vectors be zero? Yes , when the sum ( resultant) of any two of them is equal and opposite to the third one.

When can the addition of vectors be zero?

Addition of two vectors can only be zero when there directions are opposite and their magnitude is additive inverse of each other.

Can 3 non coplanar vectors give zero resultant Why?

First we take two vectors , the resultant of the these two vectors is equal in magnitude of the third vector but directed in opposite direction. But when these three vectors are not in the same plane , when we resolve their rectangular component, they do not cancel each other therefore resultant is not zero.

Can three non coplanar vector have zero resultant?

no not possible. for example like two vector same in magnitude but opposite in direction will cancel out but third one exist. even if we take arbitrary three non coplanar vector and when we resolve them they are not zero as they are not in one plane.

What is the resultant of the vector sum of three vectors?

Originally Answered: The vector sum of three vector gives zero resultant. What can be the orientation of the vectors? If the sum of three vectors is zero, they may be represented as the sides of a triangle. The orientation of the vectors, thus, can be any possible combination of the three different angles.

What does it mean when the sum of two vectors is 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. Wiki User ∙ 2010-07-05 13:19:03

What is the sum of vectors of a closed polygon?

Answer : As we know that the resultant of a number of vetoes which make a closed path is equal to zero. Hence the sum of vectors of closed polygon becomes zero because their resultant is represented in magnitude and direction by the closing side of the polygon taken in opposite order.

Does the Order of addition of three vectors affect their sum?

Show that the order of addition of three vectors does not affect their sum. Show this property by choosing any three vectors A, B, and C, all having different lengths and directions.