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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.
Why the product of two vectors is sometime scalar and sometime vector?
Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.
If a and b are two vectors and the vector product of vector a and vector b is equal to a minus b then prove that a equals b?
The question is not correct, because the product of any two vectors is just a number, while when you subtract to vectors the result is also a vector. So you can't compare two different things...
Can scalar product of two vectors be negative?
The scaler product of two vector can be negative,if the angle b/w two vector is 180 or two vector or antiparallel to each otherA.B=ABcosA.B=ABcos180A.B=-ABTHIS SHOW THAT SCALER PRODUCT OF TWO VECTOR CAN BE NEGATIVE.EXAMPLE::Work done against force of friction: w=f.dw=fbcosw=fbcos180w=-fb:Work done against gravity:w=f.dhere f=mg and d=hso putting valuew=mghcosw=mghcos180w=-mghHENCE WORK DONE AGAINST FORCE OF GRAVITY IS NEGATIVE
When the vector product of two vectors is zero?
When they point in the same direction.
How the cross product of two vector is negative?
The cross product of two vectors can result in a negative vector if the two original vectors are not parallel to each other and the resulting vector points in the direction opposite to what is conventionally defined as the right-hand rule direction. In essence, the orientation of the resulting vector determines if it is negative or positive.
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 difference between scalar and vector products of two vectors?
The scalar product (dot product) of two vectors results in a scalar quantity, representing the magnitude of the projection of one vector onto the other. The vector product (cross product) of two vectors results in a vector quantity that is perpendicular to the plane formed by the two input vectors, with a magnitude equal to the area of the parallelogram they span.
Why the product of two vectors is sometime scalar and sometime vector?
Because there are two different ways of computing the product of two vectors, one of which yields a scalar quantity while the other yields a vector quantity.This isn't a "sometimes" thing: the dot product of two vectors is always scalar, while the cross product of two vectors is always a vector.
What is scalar and vector product simplify?
Scalar product (or dot product) is the product of the magnitudes of two vectors and the cosine of the angle between them. It results in a scalar quantity. Vector product (or cross product) is the product of the magnitudes of two vectors and the sine of the angle between them, which results in a vector perpendicular to the plane containing the two original vectors.
What does the cross product represent in vector algebra?
The cross product in vector algebra represents a new vector that is perpendicular to the two original vectors being multiplied. It is used to find the direction of a vector resulting from the multiplication of two vectors.
If a and b are two vectors and the vector product of vector a and vector b is equal to a minus b then prove that a equals b?
The question is not correct, because the product of any two vectors is just a number, while when you subtract to vectors the result is also a vector. So you can't compare two different things...
Is the cross product vector or scalar?
The cross product is a vector. It results in a new vector that is perpendicular to the two original vectors being multiplied.
Can scalar product of two vectors be negative?
The scaler product of two vector can be negative,if the angle b/w two vector is 180 or two vector or antiparallel to each otherA.B=ABcosA.B=ABcos180A.B=-ABTHIS SHOW THAT SCALER PRODUCT OF TWO VECTOR CAN BE NEGATIVE.EXAMPLE::Work done against force of friction: w=f.dw=fbcosw=fbcos180w=-fb:Work done against gravity:w=f.dhere f=mg and d=hso putting valuew=mghcosw=mghcos180w=-mghHENCE WORK DONE AGAINST FORCE OF GRAVITY IS NEGATIVE
When the vector product of two vectors is zero?
When they point in the same direction.
What is the result of applying the del operator to the dot product of two vectors?
The result of applying the del operator to the dot product of two vectors is a vector.
Why is magnetic field vector a pseudo vector?
It is the cross product of two vectors. The cross product of two vectors is always a pseudo-vector. This is related to the fact that A x B is not the same as B x A: in the case of the cross product, A x B = - (B x A).
