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Can the resultant of 3 vectors be 0?

Updated: 4/28/2022
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Yes. A simple case would be a vector 2a acting at a point in one direction and two vectors, each of magnitude a, acting at the same point in the opposite direction.

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Q: Can the resultant of 3 vectors be 0?
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What is the angle between two vectors if their sum is to be maximum?

The resultant vector has maximum magnitude if the vectors act in concert. That is, if the angle between them is 0 radians (or degrees). The magnitude of the resultant is the sum of the magnitudes of the vectors.For two vectors, the resultant is a minimum if the vectors act in opposition, that is the angle between them is pi radians (180 degrees). In this case the resultant has a magnitude that is equal to the difference between the two vectors' magnitudes, and it acts in the direction of the larger vector.At all other angles, the resultant vector has intermediate magnitudes.


When do you get a magnitude of 0 in vector?

The magnitude of a vector is 0 if the magnitude is given to be 0.The magnitude of the resultant of several vectors in n-dimensional space is 0 if and only if the components of the vectors sum to 0 in each of a sewt of n orthogonal directions.


What is parallelogram law of vectors?

"If two vector quantities are represented by two adjacent sides or a parallelogram then the diagonal of parallelogram will be equal to the resultant of these two vectors."


What is the magnitude of two perpendicular vector?

The two vectors form the minor legs of a right angled triangle and the resultant is the hypotenuse of the triangle. Its magnitude, therefore, is the square root of the sum of the squared magnitudes of the two vectors.


When is a cross product zero?

When the component vectors have equal or opposite directions (sin(Θ) = 0) i.e. the vectors are parallel.

Related questions

What is the magnitude of the two vectors having a sum of zero?

If their sum (resultant) is 0, then the magnitude of the resultant must be 0.


Can the resultant of two vectors be 0?

Yes, but only if the size of the two vectors are the same but their direction is opposite.


Can the resultant of two vectors be 0 how is it possible for two vectors always?

If they are equal in magnitude but act in opposite directions.


What is the Minimum number of vectors with unequal magnitudes whose vector sum can be zero?

-- A singe vector with a magnitude of zero produces a zero resultant.-- Two vectors with equal magnitudes and opposite directions produce a zero resultant.


Is resultant a vector quantity?

The resultant of two vectors cannot be a scalar quantity.


How does the resultant of two vectors change as the angle between the two vectors increase?

The resultant decreases from 0 degrees until the angle is 180 degrees and then increases until 360 degrees.


Can the resultant of two vectors of the same magnitude be equal to the magnitude of either of the vector. How?

Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.


What is the resultant of 300n at 0 gegrres?

The resultant is what you get when you add together all the vectors. You only listed one vector, so the sum of all of it is the same as the one vector. The resultant is 300n at 0 degrees.


What is the angle between two vectors if their sum is to be maximum?

The resultant vector has maximum magnitude if the vectors act in concert. That is, if the angle between them is 0 radians (or degrees). The magnitude of the resultant is the sum of the magnitudes of the vectors.For two vectors, the resultant is a minimum if the vectors act in opposition, that is the angle between them is pi radians (180 degrees). In this case the resultant has a magnitude that is equal to the difference between the two vectors' magnitudes, and it acts in the direction of the larger vector.At all other angles, the resultant vector has intermediate magnitudes.


When two vectors are added and their magnitude is equal to the magnitude of resultan what will be angle in between them?

if you add the vectors magnitude and equal to resultant the angle between them is 0


What is the magnitude of the resultant of a pair of perpendicular 300 N vectors?

The magnitude depends on the angle between the vectors. The magnitude could be from 0 to 600 N.


The vector sum of three vectors gives a resultant equal to zero What can you say about the vectors?

With three vectors spaced 120 degrees apart and with identical magnitudes the vector sum will be 0.