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Will a vector multiplied by another vector result in another vector?
Wiki User
∙ 15y ago
It depends on the angle between the vectors (AB). The product of two vectors Av and Bv is AvBv=-Av.Bv + AvxBv= |AvBv|(-cos(Ab) + vsin(AB)). If the angle is a odd multiple of 90 degrees the product is a vector. If he angle is an even multiple of 90 degrees, the product is a scalar. If he angle is not a multiple of 90 degrees, the product of a vector by another vector is a quaternion, the sum of a scalar and a vector. Most numbers in physics and science are quaternions, a combination of scalars and vectors.Quaternions forma mathematical Group, vectors don't. The product of quaternions is always a quaternion. The product of vectors may not be a vector, it may be a vector , a scalar or both. The product of scalars is also a Group. Vector by themselves do not form a Group. The Order of Numbers are Scalars form a Group called Real Numbers; scalars and a single vector form a group called complex numbers; scalars and three vectors form a group called Quaternions. These are the only Groups that provide an Associative Division Algebra.
Wiki User
∙ 15y ago
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What is the result of adding a displacement vector to an another displacement vector?
another displacement
What is the result if you subtract a velocity vector to another velocity vector?
The result will also be a velocity vector. Draw the first vector. From its tip draw the negative of the second vector ( ie a vector with the same magnitude but opposite direction). The the resultant would be the vector with the same starting point as the first vector and the same endpoint as the second. If the two vectors are equal but opposite, you end up with the null velocity vector.
Why work is scalar but product of two vector?
The product of two vectors can be done in two different ways. The result of one way is another vector. The result of the other way is a scalar ... that's why that method is called the "scalar product". The way it's done is (magnitude of one vector) times (magnitude of the other vector) times (cosine of the angle between them).
What will be the change if a vector is multiplied by -2?
It will be twice as large as the original and have the opposite direction.
What is the product of two vector quantities?
It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.
What is the physical significance of null vectors?
Zero vector or null vector is a vector which has zero magnitude and an arbitrary direction. It is represented by . If a vector is multiplied by zero, the result is a zero vector. It is important to note that we cannot take the above result to be a number, the result has to be a vector and here lies the importance of the zero or null vector. The physical meaning of can be understood from the following examples. The position vector of the origin of the coordinate axes is a zero vector. The displacement of a stationary particle from time t to time tl is zero. The displacement of a ball thrown up and received back by the thrower is a zero vector. The velocity vector of a stationary body is a zero vector. The acceleration vector of a body in uniform motion is a zero vector. When a zero vector is added to another vector , the result is the vector only. Similarly, when a zero vector is subtracted from a vector , the result is the vector . When a zero vector is multiplied by a non-zero scalar, the result is a zero vector.
When we subtract a velocity vector from another velocity vector the result is?
Still another velocity vector (or a zero vector).
What is the result of adding a displacement vector to an another displacement vector?
another displacement
Why vector division is not possible?
In the case of the dot product, you would need to find a vector which, multiplied by another vector, gives a certain real number. This vector is not uniquely defined; several different vectors could be used to give the same result, even if the other vector is specified. For the other two common multiplications defined for vector, the inverse of multiplication, i.e. the division, can be clearly defined.
When you add a displacement vector to another displacement vectorthe result is?
The result is a net displacement vector.
How will you multiply a vector by positive number?
A positive scalar multiplied by a vector, will only change the vector's magnitude, not the direction. A negative scalar multiplied by the vector will reverse the direction by 180°.
When does the vector duplicates?
When it is multiplied by 2.
Mathematics if a raw vector is multiplied by a column vector what is the product?
if a column vector such as x y is multiplied by a raw vector such as ( 2 0), ( 2 o) x y = 2x so 2x is the image of x y
What is the result if you subtract a velocity vector to another velocity vector?
The result will also be a velocity vector. Draw the first vector. From its tip draw the negative of the second vector ( ie a vector with the same magnitude but opposite direction). The the resultant would be the vector with the same starting point as the first vector and the same endpoint as the second. If the two vectors are equal but opposite, you end up with the null velocity vector.
Can vector quantity be divided and multiplied?
69
When a vector is multiplied by a scalar physical quantitythen what will be dimensions of resulting vector?
The same as the original vector. The scalar will change the numbers, but not the dimensions.
Is angular momentum a vector quantity?
Angular momentum is a vector quantity. Angular velocity, which is a vector quantity, is multiplied by inertia, which is a scalar quantity.
