Scalar multiplication.
Use the parallelogram method to add two of the vectors to create a single vector for them;Now use this vector with another of the vectors to be added (using the parallelogram method to create another vector).Repeat until all the vectors have been added.For example, if you have to add V1, V2, V3, V4 do:Used method to add V1 and V2 to result in R1Use method to add R1 and V3 to result in R2Use method to add R2 and V4 to give final resulting vector R.
The acceleration depends on the net force. So, you must add the forces together as vectors. The result in this case depends in what direction the force is applied.
No. The order of adding vectors does not affect the magnitude or direction. of the result.
Two vectors; V1 + V2=0 where V1= -V2, two opposite vectors.
Yes. Any number of vectors, two or more, can result in zero, if their magnitudes and directions are just right. One vector can result in zero only if its magnitude is zero.
The result is a zero vector. If the sum of the vectors forms a closed figure, the vectors sum to zero.
resultant
The result is a vector.
It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.
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.
It is a displacement equal in magnitude to the difference between the two vectors, and in the direction of the larger vector.
A variety of mathematical operations can be performed with and upon vectors. One such operation is the addition of vectors. Two vectors can be added together to determine the result (or resultant). This process of adding two or more vectors has already been discussed in an earlier unit. Recall in our discussion of Newton's laws of motion, that the net force experienced by an object was determined by computing the vector sum of all the individual forces acting upon that object. That is the net force was the result (or resultant) of adding up all the force vectors. During that unit, the rules for summing vectors (such as force vectors) were kept relatively simple. Observe the following summations of two force vectors: