One of them is negative or both of them are zero,
All components cancel.
The component vector sum is zero.
example:
x-components: A<-------- -------->B = zero
same for y-components
(Magnitude of the vector)2 = sum of the squares of the component magnituides Let's say the components are 'A' and 'B', and the magnitude of the vector is 'C'. Then C2 = A2 + B2 You have said that C = A, so C2 = C2 + B2 B2 = 0 B = 0 The other component is zero.
if you add the vectors magnitude and equal to resultant the angle between them is 0
-- A singe vector with a magnitude of zero produces a zero resultant.-- Two vectors with equal magnitudes and opposite directions produce a zero resultant.
The direction after adding two equal and opposite vectors is the "Direction" of the two vectors. V=aDirection and Opposite V = OV = - aDirection. Adding the two gives, V + OV= (a-a)Direction = 0 Direction.
If you wish to add the vectors, then the component parts must be added. For example if one vector is 3i + 2j - 4k, (i j & k are orthogonal direction vectors in the x y and z directions respectively), and say another vector is 2i + 8k {nothing in the j direction}, you would need to add the components individually.So in this example the new i component is (3 + 2)i = 5i and the new j component is (2 + 0)j = 2j, and the new k component is (-4 + 8)k = 4k. The vector sum of those two vectors is 5i + 2j + 4k.
That their magnitudes are the same but their directions are opposite.
The component vector sum is zero and the all components cancel out.:)
All Components cancel The Component vector sum is zero Example: x-components A<------------------->B = zero same for y-components
The components of these vectors will be equal in magnitude but opposite in direction. This can be proved as follows.If A+B=0 then A=-BOr Axi+Ayj+Azk=-(Bxi+Byj+Bzk)Comparing the co-efficients of i, j, kAx=-Bx Ay=-By Az=-BzThis shows that components of A and B are equal in magnitude to each other but are opposite in direction.
Yes, but only if the size of the two vectors are the same but their direction is opposite.
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.
Two vectors; V1 + V2=0 where V1= -V2, two opposite vectors.
If they are equal in magnitude but act in opposite directions.
Vectors can be added graphically: draw one vector on paper, move the other so that its tail coincides with the head of the first. Vectors can also be added by components. Just add the corresponding components together. For example, if one vector is (10, 0) and the other is (0, 5) (those two would be perpendicular), the combined vector is (10+ 0, 0 + 5), that is, (10, 5). Such a vector can also be converted to polar coordinates, that is, a length and an angle; use the "rectangular to polar" conversion on your scientific calculator to do that.
It is impossible if the two vectors are of unequal magnitude.
No two vectors of unequal magnitude cannot give the sum 0 because for 0 sum the 2 vectors must be equal and in opposite direction
(Magnitude of the vector)2 = sum of the squares of the component magnituides Let's say the components are 'A' and 'B', and the magnitude of the vector is 'C'. Then C2 = A2 + B2 You have said that C = A, so C2 = C2 + B2 B2 = 0 B = 0 The other component is zero.