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We're not sure what you have in mind when you say "counteract". But two vectors
can certainly add up to zero, if their magnitudes are equal and their directions are
different by exactly 180 degrees. In that case, they have the same effect as if they
were both not there at all.
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∙ 13y ago
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What is the condition when two vectors are addition and subtraction are same magnitude?
The condition is the two vectors are perpendicular to each other.
What is the angle needed for the smallest resultant of two vectors?
The smallest resultant of two vectors is the sum of two equal vectors which make an angle of 180 degrees among each other.
Can any vector be represented by two other vectors that are right angels to each others?
Yes. This is the basis of cartesian vector notation. With cartesian coordinates, vectors in 2D are represented by two vectors, those in 3D are represented by three. Vectors are generally represented by three vectors, but even if the vector was not in an axial plane, it would be possible to represent the vector as the sum of two vectors at right angles to eachother.
Which are those two vectors whose resultant vector is zero?
They are vectors of equal magnitudes in oppositedirections. When you add them, they cancel out each other.
Can two nonzero vectors give zero resultant when they multiply with each other if yes give condition for same?
yes, if they are at right angles to each other.
What is the condition when two vectors are addition and subtraction are same magnitude?
The condition is the two vectors are perpendicular to each other.
What is the angle needed for the smallest resultant of two vectors?
The smallest resultant of two vectors is the sum of two equal vectors which make an angle of 180 degrees among each other.
Is it possible for two vectors with different magnitudes to totally cancel each other?
no
How great is the resultant of two equal-magnitude vectors at right angles to each other?
Let two equal magnitude vectors be 'X'.. Then, resultant=1.414X
If two vectors are perpendicular to each other then the resultant what?
The direction after adding two equal and opposite vectors is the "Direction" of the two vectors. V=aDirection and Opposite V = OV = - aDirection. Adding the two gives, V + OV= (a-a)Direction = 0 Direction.
How one arises at null vector?
When you have two or more vectors that cancel each other out.
Is the sum and difference of two perpendicular vectors have same lengyhs and also perpendicular to each other?
The sum and difference of two perpendicular vectors are the same in length, but are not perpendicular unless the vectors are the same size. If they are the same size they are perpendicular, other wise they are not perpendicular.
Can any vector be represented by two other vectors that are right angels to each others?
Yes. This is the basis of cartesian vector notation. With cartesian coordinates, vectors in 2D are represented by two vectors, those in 3D are represented by three. Vectors are generally represented by three vectors, but even if the vector was not in an axial plane, it would be possible to represent the vector as the sum of two vectors at right angles to eachother.
Which are those two vectors whose resultant vector is zero?
They are vectors of equal magnitudes in oppositedirections. When you add them, they cancel out each other.
Can two nonzero vectors give zero resultant when they multiply with each other if yes give condition for same?
yes, if they are at right angles to each other.
How can you use the pythagorean theorem to add two vectors that are perpindicular to each other?
Construct the rectangle that contains the right angle subtended by the vectors. Calculate or construct the diagonal of the rectangle. The diagonal is the hypotenuse of a right triangle with the two vectors as sides. The hypotenuse is also the vector that is the sum of the two original vectors. Calculate the magnitude of that vector by applying the theorem.
How is a resolution of a vector different from the resultant of vectors?
When you resolve a vector, you replace it with two component vectors, usually at right angles to each other. The resultant is a single vector which has the same effect as a set of vectors. In a sense, resolution and resultant are like opposites.
