0
Why can three vectors add up to zero if they are not coplanars?
Wiki User
∙ 12y ago
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 number
in each of the orthogonal directions. All you need is for each group of components
to 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 + 1k
Vector B: 1i - 2j - 1k
Vector C: -2i + 1j
A + B + C = (1+1-2)i + (1-2+1)j + (1-1)k = 0i + 0j + 0k= zero magnitude
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
Can two vectors having different magnitudes be combined to give a zero resultant.is it possible for three such vectors?
Two vectors with unequal magnitudes can't add to zero, but three or more can.
How can you add vectors?
we can add vectors by head to tail rule.THe head of first vector to the tell of second vector.And for the resultant vector we can add the tail of first vector to the head of second vector. we can add more than three vectors to give a resultant is equal to zero by joining head to tail rule as to form polygan .
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.
Is it possible to combine 2 equal vectors to give a zero resultant?
With equal angles between them - which in this case results in 360° / 3 = 120° separation between the angles.
Why do nonperpendicular vectors need to be resolved into components before you can add the vectors together?
You can graphically add the vectors together without resolving them. However to mathematically add them they need to be resolved to find the new direction.
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 add up to zero if they are not coplanar?
yes
Can two vectors having different magnitudes be combined to give a zero resultant.is it possible for three such vectors?
Two vectors with unequal magnitudes can't add to zero, but three or more can.
Can three vectors of different magnitudes and directions add to zero?
yeah
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.
Is it possible to add three vectors of equal-magnitude but different direction to get zero vector?
Yes, if the three vectors are starting from the same point and are directed at 120 degrees between each two vectors.
Can three parallel vectors of uneven magnitude add to zero?
Yes - if you accept vectors pointing in opposite directions as "parallel". Example: 3 + 2 + (-5) = 0
Can you add zero in a null vector?
Only if your zero is a null vector. You cannot add pure numbers and vectors.
Can a pair of vectors with unequal magnitudes ever add to zero?
No.
Is it possible to add two vectors of unequal magnitudes an get zero?
No.
How can you add vectors?
we can add vectors by head to tail rule.THe head of first vector to the tell of second vector.And for the resultant vector we can add the tail of first vector to the head of second vector. we can add more than three vectors to give a resultant is equal to zero by joining head to tail rule as to form polygan .
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.
