Wiki User
∙ 11y agoYes.
Wiki User
∙ 11y agoTwo vectors, no; three vectors yes.
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.
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.
Yes.
Two vectors, no; three vectors yes.
Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.
To determine the magnitude when displacement vectors have opposite directions, you need to find the difference between the magnitudes of the two vectors. This is done by subtracting the magnitude of the primary vector from the magnitude of the secondary vector. The result will give you the magnitude of the resultant displacement.
Yes, put the three vectors in a plane, with a separation of 120 degrees between each vector and each of the other vectors.
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.
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.
Yes.
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.
at 120 degree
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.
No. For three vectors they must all lie in the same plane. Consider 2 vectors first. For them to resolve to zero, they must be in opposite direction and equal magnitude. So they will lie along the same line. For 3 vectors: take two of them. Any two vectors will lie in the same plane, and their resultant vector will also lie in that plane. Find the resultant of the first two vectors, and the third vector must be along the same line (equal magnitude, opposite direction), in order to result to zero. Since the third vector is along the same line as the resultant vector of the first two, then it must be in the same plane as the resultant of the first two. Therefore it lies in the same plane as the first two.
Adding two vectors results in a new vector that represents the combination of the two original vectors. The new vector is defined by finding the sum of the corresponding components of the two vectors.