The only way that two vectors add up to zero is if they have equal magnitude and opposite direction. If the magnitudes are not equal then no, they cannot give a zero resultant.
No.
Yes.
The parallelogram method involves placing two vectors such that they originate from the same point, forming a parallelogram, and the resultant vector is represented by the diagonal of this shape. For the polygon method, vectors are arranged in sequence, where the tail of one vector is placed at the head of the previous vector, and the resultant vector is drawn from the start of the first vector to the end of the last vector. Both methods visually depict how vectors combine to form a resultant vector.
In vector addition, the sum of two (or more) vectors will give a resultant vector. There are a number of sites that will help you with tutorials. A link to one can be found below.
No. The vector resultant of addition of vectors is the vector that would connect the tail of the first vector to the head of the last. For any set of vectors to add to the zero vector, the endpoint of the last vector added must be coincident with the start point of the first. Therefore for the sum of only two vectors to have a chance of being the zero vector, the second vector must be in a direction exactly opposite the first. So you can tell that the result of adding the two vectors could only can be zero vector if the two vectors were of two equal magnitude.
No.
No. The tenth vector would have to be matched by one equal and opposite vector to yield a zero resultant, or by multiple vectors in the second plain collectively yielding a zero resultant for that plane. It would be possible, for example, for 8 vectors to be on the same plane and two on a different plane to give a zero resultant.
To find the magnitude of the resultant vector, you can use the Pythagorean theorem. Simply square the x-component, square the y-component, add them together, and then take the square root of the sum. This will give you the magnitude of the resultant vector.
The diagonal of the rectangle represents the resultant of the velocities when added using vector addition. The magnitude and direction of this diagonal give the magnitude and direction of the resultant velocity vector.
Yes.
In that case, the forces are said to be unbalanced.
Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction. So no two vector of unequal magnitude cannot be added to give null vector. Three vectors of equal magnitude and making an angle 120 degrees with each other gives a zero resultant.
In vector addition, the sum of two (or more) vectors will give a resultant vector. There are a number of sites that will help you with tutorials. A link to one can be found below.
Force is a vector. So only depending on the direction of the forces we can give the resultant.
No. The vector resultant of addition of vectors is the vector that would connect the tail of the first vector to the head of the last. For any set of vectors to add to the zero vector, the endpoint of the last vector added must be coincident with the start point of the first. Therefore for the sum of only two vectors to have a chance of being the zero vector, the second vector must be in a direction exactly opposite the first. So you can tell that the result of adding the two vectors could only can be zero vector if the two vectors were of two equal magnitude.
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
No, changing order of vectors in subtraction give different resultant so commutative and associative laws do not apply to vector subtraction.