To find the resultant of 2 vectors, P and Q, let the ray AB represent the vector P. Let AB (not BA) be in the direction of P and let the length of AB represent the magnitude of P. Let BC represent the direction of Q and the length BC represent the magnitude of Q [on the same scale used for P and AB]. Then the straight line AC, which is the diagonal of the parallelogram with sides representing P and Q, is the resultant vector R, with magnitude and direction represented by AC.
The vectors P and Q can also be represented as sides AB and AC. In that case you will need to complete the parallelogram and the resultant is represented by the diagonal through A.
Yes, a resultant vector is the vector sum of the two vectors. It has it's own direction and magnitude.
A couple: 2 parallel forces equal in magnitude, but opposite in direction separated by a distance.
There is basically no difference. They are nothing more than 2 different visualizations of how we can graphically add two vectors.strictly if we say there is one and only difference is that---Triangle law of vector addition states that when 2 vectors r acting as the adjacent sides of a triangle taken in order. third side of the triangle will give the magnitude of th resultant 7 direction is in opposite order.Parallelogram law of vector addition states that if 2 vectors r acting as the adjacent sides of a parallelogram, then the diagonal of parallelogram from the point of intersection of two vectors represent their resultant magnitude & direction.
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Yes. As an extreme example, if you add two vectors of the same magnitude, which point in the opposite direction, you get a vector of magnitude zero as a result.
Add the resultant vectors 4 + 10 (and as they are in the same direction there will be no sine or cosine factors to worry about).Answer: 14N in the direction of the forces
The zero-vector has no direction.
If they're exactly in the same direction, then the resultant is also in the same direction, and its magnitude is equal to the sum of the two individual magnitudes.
The direction will change; the magnitude of the resultant force will be less.
Yes, a resultant vector is the vector sum of the two vectors. It has it's own direction and magnitude.
The direction will change; the magnitude of the resultant force will be less.
If two forces are in the same direction, then their resultant is also in the same direction, and its magnitude is the sum of the two components' magnitudes.
The parallelogram law states that when two concurrent forces F1 &F2 acting on a body are represented by two adjacent sides of a parallelogram the diagonal passing through their point of concurrency represents the resultant force R in magnitude and direction
The magnitude of the resultant of two like parallel forces is the sum of the magnitudes of the forces and its direction will be same as the direction of the parallel forces.
A ship is traveling 155mph due south .Opposing current 35mph at 20 degrees southwest . Find resultant magnitude and direction of ship's true course
A couple: 2 parallel forces equal in magnitude, but opposite in direction separated by a distance.
Yes. A vector has magnitude and direction. If the vectors have equal magnitude and directly opposite directions their sum will be zero.