We're not sure what you have in mind when you say "counteract". But two vectors
can certainly add up to zero, if their magnitudes are equal and their directions are
different by exactly 180 degrees. In that case, they have the same effect as if they
were both not there at all.
The condition is the two vectors are perpendicular to each other.
The smallest resultant of two vectors is the sum of two equal vectors which make an angle of 180 degrees among each other.
Yes. This is the basis of cartesian vector notation. With cartesian coordinates, vectors in 2D are represented by two vectors, those in 3D are represented by three. Vectors are generally represented by three vectors, but even if the vector was not in an axial plane, it would be possible to represent the vector as the sum of two vectors at right angles to eachother.
They are vectors of equal magnitudes in oppositedirections. When you add them, they cancel out each other.
yes, if they are at right angles to each other.
The magnitudes of two vectors are added when the vectors are parallel to each other. In this case, the magnitude of the sum is equal to the sum of the magnitudes of the two vectors.
The condition is the two vectors are perpendicular to each other.
The sum and difference of two perpendicular vectors are the same in length, but are not perpendicular unless the vectors are the same size. If they are the same size they are perpendicular, other wise they are not perpendicular.
When the dot product between two vectors is zero, it means that the vectors are perpendicular or orthogonal to each other.
The smallest resultant of two vectors is the sum of two equal vectors which make an angle of 180 degrees among each other.
no
Let two equal magnitude vectors be 'X'.. Then, resultant=1.414X
If two vectors are perpendicular to each other, their dot product will be zero. This means that the angle between the two vectors is 90 degrees. When adding two perpendicular vectors together, the resultant vector will be the vector sum of the two original vectors. The magnitude of the resultant vector can be calculated using the Pythagorean theorem, and its direction can be determined using trigonometry.
When you have two or more vectors that cancel each other out.
Two forces counteract each other when they have the same magnitude but act in opposite directions. This results in a net force of zero, causing the object to remain at rest or move at a constant velocity.
Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.
Yes. This is the basis of cartesian vector notation. With cartesian coordinates, vectors in 2D are represented by two vectors, those in 3D are represented by three. Vectors are generally represented by three vectors, but even if the vector was not in an axial plane, it would be possible to represent the vector as the sum of two vectors at right angles to eachother.