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.
Yes, the sum of two perpendicular vectors has the same length as the original vectors, and they are also perpendicular to each other. However, the difference of two perpendicular vectors may not have the same length as the original vectors, but they will still be 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.
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.
no
Let two equal magnitude vectors be 'X'.. Then, resultant=1.414X
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.
When you have two or more vectors that cancel each other out.
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.
They are vectors of equal magnitudes in oppositedirections. When you add them, they cancel out each other.