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Is it possible to combine 2 equal vectors to give a zero resultant?
Wiki User
∙ 13y ago
With equal angles between them - which in this case results in 360° / 3 = 120° separation between the angles.
Wiki User
∙ 8y ago
Wiki User
∙ 15y agoImagine a triangle with all the sides of different length. If you walk around it, you still end up in the same place.
Take each side of this triangle to be a vector with length of the side and direction of your movement. Each vector starts at the end of previous one, which is how we add vectors - they don't even have to start at the end of each other actually, because for every set of vectors it can be easily arranged.
Since you end up in the same place where you started, the total displacement is zero and so the sum of unequal vectors can be zero.
Wiki User
∙ 14y agoIf the three vectors have equal magnitudes, then they should be arranged symmetrically around
the 'compass', so that the angle between each set of two neighbors is 120 degrees. Then their
resultant is zero.
Answer2:
Form a triangle with the three vectors, this would be a equilateral triangle.
Wiki User
∙ 13y agoNot strictly. When you say two "equal" vectors, then technically you're saying that
their magnitudes and their directions are equal, and those can't combine to form a
zero resultant.
However, if you have two vectors with equal magnitudes but not necessarily equal
directions, then they'll add to give a zero resultant if you simply make their directions
exact opposites.
Wiki User
∙ 7y agoYes. For example, in a single dimension, you can have vectors (1), (2), and (-3), which add up to zero. Similarly in two dimensions - just set the second coordinate to zero. But the three vectors need not be colinear; the sides of any triangle can be replaced by vectors, which add up to zero.
Wiki User
∙ 7y agoYes. The only requirement is that the forces balance in three dimensions. This can include any number of unequal forces greater than 2.
Wiki User
∙ 13y agoYes, they must have th same scalar value, but opposite direction (the vectors a and -a are different, yet their sum is 0)
Wiki User
∙ 12y agoSure. Simply distribute them uniformly around the point at which they act.
In other words, the directions of each two vectors are 120 degrees apart.
Wiki User
∙ 7y agoyes, they can, as long as they are in different directions
Wiki User
∙ 15y agoThey can. They just need to balance.
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Ten vectors together add to give a zero resultant it is possible that nine of these vectors are on the same plane but the tenth is not on this plane?
No. The tenth vector would have to be matched by one equal and opposite vector to yield a zero resultant, or by multiple vectors in the second plain collectively yielding a zero resultant for that plane. It would be possible, for example, for 8 vectors to be on the same plane and two on a different plane to give a zero resultant.
When two equal and opposite vectors are added their resultant vector has zero magnitude.What is the direction of this resultant?
Thee direction of the two vectors.
Can the resultant of two equal vectors be of same magnitude as the two vectors?
Yes. This will happen if the two vectors are at an angle of 120 degrees.
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
Can the resultant of two vectors be equal to zero?
Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.
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.
Ten vectors together add to give a zero resultant it is possible that nine of these vectors are on the same plane but the tenth is not on this plane?
No. The tenth vector would have to be matched by one equal and opposite vector to yield a zero resultant, or by multiple vectors in the second plain collectively yielding a zero resultant for that plane. It would be possible, for example, for 8 vectors to be on the same plane and two on a different plane to give a zero resultant.
How great is the resultant of two equal-magnitude vectors at right angles to each other?
Let two equal magnitude vectors be 'X'.. Then, resultant=1.414X
When two equal and opposite vectors are added their resultant vector has zero magnitude.What is the direction of this resultant?
Thee direction of the two vectors.
What is the least number of non-zero vectors that can be added to give a resultant equal to zero?
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
What is the angle needed for the smallest resultant of two vectors?
The smallest resultant of two vectors is the sum of two equal vectors which make an angle of 180 degrees among each other.
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.
Is it possible two unequal vector to give a zero resultant?
The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
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 the resultant of two equal vectors be of same magnitude as the two vectors?
Yes. This will happen if the two vectors are at an angle of 120 degrees.
Can the resultant of two vectors of the same magnitude be equal to the magnitude of either of the vector proof mathematically?
Yes. If the two vectors are two sides of an equilateral triangle, then the resultant is the third side and therefore equal in magnitude.
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
