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.
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.
The direction of the resultant vector with zero magnitude is arbitrary, since it indicates that the two equal and opposite vectors cancel each other out completely.
Yes, three vectors that do not lie in the same plane can give a zero resultant if they form a closed triangle. This can happen when the vectors cancel each other out due to their directions and magnitudes.
The resultant vector will have a magnitude of zero because the two equal and opposite vectors cancel each other out. The direction of the resultant vector will be indeterminate or undefined.
A resultant vector is the single vector that represents the combined effect of multiple vectors. It is obtained by adding together all the individual vectors. An equilibrant vector is a single vector that, when added to the other vectors in the system, produces a net result of zero, effectively balancing out the other vectors.
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.
The smallest resultant of two vectors is the sum of two equal vectors which make an angle of 180 degrees among each other.
Let two equal magnitude vectors be 'X'.. Then, resultant=1.414X
When you resolve a vector, you replace it with two component vectors, usually at right angles to each other. The resultant is a single vector which has the same effect as a set of vectors. In a sense, resolution and resultant are like opposites.
The direction of the resultant vector with zero magnitude is arbitrary, since it indicates that the two equal and opposite vectors cancel each other out completely.
The condition is the two vectors are perpendicular to each other.
Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.
If two vectors with equal magnitudes 'M' have perpendicular directions, then the resultant ismidway between them ... 45 degrees from each ... and the magnitude of the resultant isM sqrt(2).84 km/hr North + 84 km/hr East = 84 sqrt(2) = 118.794 km/hr Northeast (rounded).
Yes, three vectors that do not lie in the same plane can give a zero resultant if they form a closed triangle. This can happen when the vectors cancel each other out due to their directions and magnitudes.
The resultant vector will have a magnitude of zero because the two equal and opposite vectors cancel each other out. The direction of the resultant vector will be indeterminate or undefined.
A resultant vector is the single vector that represents the combined effect of multiple vectors. It is obtained by adding together all the individual vectors. An equilibrant vector is a single vector that, when added to the other vectors in the system, produces a net result of zero, effectively balancing out the other vectors.
The direction of the resultant vector with zero magnitude is indeterminate or undefined because the two equal and opposite vectors cancel each other out completely.