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Two vectors having same magnitude but different direction are called equivalent vectors.

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Q: What is an equivalent vector?
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Why vector is called free vector?

A vector that is not a positional vector (or directly related) is equivalent to another vector of the same magnitude and direction wherever else in space it may be located. Since it is "free" to be located anywhere, it is called a free vector.


Is it possible for vector A plus vector B to equal vector A - vector B?

It's impossible as the addition of two vectors is commutative i.e. A+B = B+A.For subtraction of two vectors, you have to subtract a vector B from vector A.The subtraction of the vector B from A is equivalent to the addition of (-B) with A, i.e. A-B = A+(-B).


Can alternating current be expressed as a vector?

In the case of AC, you can express the current, the voltage and the equivalent to the resistance (called "impedance" in this case) as a vector - with a magnitude, and a phase angle.


Find a vecot equivalent to the vector PQ with its initial point at the origin and find the magnitude of the vector P equals -4 -3 Q equals -2 2?

vector PQ where P(-4, -3) and Q(-2, 2) equivalent vector P'Q' where P'(0, 0) and Q'(2, 5) the magnitude doesn't change so we can compute |P'Q'| = √(22 + 52) = √29


When magnitude of vector a plus b is equal to the magnitude of vector a minus b then what is the angle between two vectors a and b?

2pi/3 radian or equivalent 120 degree


What are the similarities between vectors and complex numbers?

If you add two complex numbers, the resulting complex number is equivalent to the vector resulting from adding the two vectors. If you multiply two complex numbers, the resulting complex number is equivalent to the vector resulting from the cross product of the two vectors.


Multiplying or dividing vectors by scalars results in?

Vectors. A scalar times a vectro is a vector. A vector times a vector is a scalr if the vectros are parallel v1.v2 = scalar. A vector times a vector is a vector if the vectors are perpendicular. Other wise a vectro times a vector is both a scalr and a vector, v1v2 = -v1.v2 + v1xv2 = -v1v2cos(x) + vqv2sin(x). If cos(x) =0 then perpendicular if sin(x)=0 then parallel. In general the product of two vectors is a quaternion the sum of a scalar and a vector. The Universe is composed of quaternions. Science and Physics has failed to appreciate that the numbes of the universe are quaternions, the sum of a scaltr and a vector. Hamilton invented quaternions in 1843.


Can a vector be represented in terms of unit vector?

Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.


What is a translation vector in crystallography?

Together with a rotation matrix, R, a translation vector, t, yields a relation between two equivalent positions in a crystal, given by Rx+ t = x'. Please see the link.


What is null vector?

NULL VECTOR::::null vector is avector of zero magnitude and arbitrary direction the sum of a vector and its negative vector is a null vector...


Is momentum a scalar quality?

No, momentum is a vector quantity because it has both magnitude and direction. It is defined as the product of an object's mass and its velocity, with the direction determined by the direction of the velocity.


What is the angle between vector a and vector b when mode of vector a plus vector b is equal to mode of vector a minus vector b?

90 degrees