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.
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.
"If two vector quantities are represented by two adjacent sides or a parallelogram then the diagonal of parallelogram will be equal to the resultant of these two vectors."
The two main methods for determining the resultant vector of two or more vectors are graphical and algebraic methods. In the graphical method, vectors are drawn to scale with appropriate angles and then the resultant vector is measured. In the algebraic method, vector components are added or subtracted using trigonometric functions to find the magnitude and direction of the resultant vector.
The graphical method involves using vector diagrams to visually represent the vectors and their resultant. The analytical method involves breaking down the vectors into their components and then summing the components to find the resultant. The trigonometric method uses trigonometric functions to calculate the magnitude and direction of the resultant vector.
The resultant of two vectors can be computed analytically from a vector parallelogram by determining the diagonal of the parallelogram. The diagonal represents the resultant vector, which can be found by adding the two vectors tip-to-tail. This method is based on the parallelogram law of vector addition.
The two main methods for determining the resultant of vectors are the graphical method, where vectors are drawn to scale and added tip-to-tail to find the resultant, and the component method, where vectors are broken down into their horizontal and vertical components which are then added separately to find the resultant.
The Resultant Vector minus the other vector
A resultant on a vector diagram is drawn by connecting the tail of the first vector to the head of the second vector. Then, the resultant vector is drawn from the tail of the first vector to the head of the second vector. The resultant vector represents the sum or difference of the two original vectors.
The resultant vector is the vector that 'results' from adding two or more vectors together. This vector will create some angle with the x -axis and this is the angle of the resultant vector.
the difference between resultant vector and resolution of vector is that the addition of two or more vectors can be represented by a single vector which is termed as a resultant vector. And the decomposition of a vector into its components is called resolution of vectors.
by method of finding resultant
A resutant vector
Equilibrant vector is the opposite of resultant vector, they act in opposite directions to balance each other.
If the scalar is > 1 the resultant vector will be larger and in the same direction. = 1 the resultant vector will be the same as the original vector. between 0 and 1 the resultant vector will be smaller and in the same direction. = 0 the resultant vector will be null. If the scalar is less than 0, then the pattern will be the same as above except that the direction of the resultant will be reversed.