You can do it graphically by drawing the vectors with the end of the first touching the beginning of the second, the end of the second touching the beginning of the third, and so on, being careful to maintain the direction and the scale of the magnitude of each. The resultant is then the vector that starts at the beginning of the first vector and ends at the end of the last vector. You should get the same resultant no matter what order you put the vectors in.
You can do it matematically by trigonometrically separating each vector into its x and y components, adding together all the x's and adding together all the y's, then calculating the resultant. Think of each vector as the hypotenuse of a right triangle. After adding together the x's and y's, the two sums are the two sides of a right triangle whose hypotenuse is the resultant.
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Then the resultant vector is reversed.
HelloAnswer to your QuestionSuppose we have to subtract vector B from the vector A.We can write it ARITHMETICALLY asA-B= A+(-B)Now we can determine the resultant of A and negative vector (-B) by usual adition of vectors method.Hence, according to fig. draw the representative line PQ of first vector A. Now draw the representative line Qr of the vectore B from the head of vector A in opposite direction . Join P to R, then PR represents the resultant vector C, i.e.,C = A-B----------------------------------------------------------------------------------------------------This is an example for subtraction of vector.By the ways if you want any other details from my side you can talk to me on my live id Dove_786@live.com.THANKS,Nawal Fatima.Pakistan..----------------------------------------------------------------------------------------HelloAnswer to your QuestionSuppose we have to subtract vector B from the vector A.We can write it ARITHMETICALLY asA-B= A+(-B)Now we can determine the resultant of A and negative vector (-B) by usual adition of vectors method.Hence, according to fig. draw the representative line PQ of first vector A. Now draw the representative line Qr of the vectore B from the head of vector A in opposite direction . Join P to R, then PR represents the resultant vector C, i.e.,C = A-B----------------------------------------------------------------------------------------------------This is an example for subtraction of vector.By the ways if you want any other details from my side you can talk to me on my live id Dove_786@live.com.THANKS,Nawal Fatima.Pakistan..----------------------------------------------------------------------------------------
A vector is used to represent direction and magnitude of speed. Velocity is the speed of an object and a specification of its direction of motion. Speed describes only how fast an object is moving, whereas velocity gives both how fast and in what direction the object is moving. Therefore a vector can be used to represent a velocity. The term "resultant velocity" implies a change in velocity which can be determined using vector analysis.
The resultant vector has maximum magnitude if the vectors act in concert. That is, if the angle between them is 0 radians (or degrees). The magnitude of the resultant is the sum of the magnitudes of the vectors.For two vectors, the resultant is a minimum if the vectors act in opposition, that is the angle between them is pi radians (180 degrees). In this case the resultant has a magnitude that is equal to the difference between the two vectors' magnitudes, and it acts in the direction of the larger vector.At all other angles, the resultant vector has intermediate magnitudes.
To solve for the equilibrant force in a system of forces, you must first determine the resultant force by adding all the individual forces acting on an object using vector addition. The equilibrant force is equal in magnitude but opposite in direction to the resultant force. Mathematically, you can find the equilibrant force by multiplying the magnitude of the resultant force by -1 and finding the vector in the opposite direction.