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# What is the product of two vector quantities?

Updated: 9/18/2023

Wiki User

13y ago

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.

Wiki User

13y ago

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Q: What is the product of two vector quantities?
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### Can a scalar quantity be the product of 2 vector quantities?

No, a scalar quantity cannot be the product of two vector quantities. Scalar quantities have only magnitude, while vector quantities have both magnitude and direction. When two vectors are multiplied, the result is a vector, not a scalar.

### Can vector quantity be divided and multiplied?

Vector quantities can be added and subtracted using vector addition, but they cannot be divided like scalar quantities. However, vectors can be multiplied in two ways: by scalar multiplication, where a scalar quantity is multiplied by the vector to change its magnitude, or by vector multiplication, which includes dot product and cross product operations that result in a scalar or vector output.

### What two quantities are neccesarz to determine a vector quantities?

To determine a vector quantity, you need both magnitude (size or length of the vector) and direction. These two quantities are essential for describing a vector completely in a given reference frame.

### What is the resultant of two vector quantities?

The resultant of two vector quantities is a single vector that represents the combined effect of the individual vectors. It is found by adding the two vectors together using vector addition, taking into account both the magnitude and direction of each vector.

### Which of this two quantities is not a vector quantity magnetic field or charge?

Charge is not a vector.

### Is weight scalar or vector quantity?

scalar, produced by the scalar product of two vector quantities ... Force &middot; Distance

### Similarities between scalar and vector quantities?

Scalar quantities - quantities that only include magnitude Vector quantities - quantities with both magnitude and direction

### When two vector combine form scalar quantity give example?

Two vector quantities can be combined into a scalar quantity because a vector lives in a vector space, which requires the existence of an operation called the dot product (also commonly known as the scalar product or inner product). The exact form of this operation depends on the type of vector space, and of course one can define other operations which map two vectors into a scalar. A commonly used definition is as follows: Imagine vector one contains these values (x1, x2, x3, x4) and vector two contains these values (y1, y2, y3, y4), the dot product would turn this into: x1*y1 + x2*y2 + x3*y3 + x4*y4 The dot product gives a measure of the angle between two vectors and is often used as such in for example mechanics.

### 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.

### What are two exambles of vector quantities?

Two examples of vector quantities are velocity, which includes both speed and direction, and force, which consists of magnitude and direction.

### 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.

### Why vector quantities cannot be added and subtracted like scalar quantities?

Mainly because they aren't scalar quantities. A vector in the plane has two components, an x-component and a y-component. If you have the x and y components for each vector, you can add them separately. This is very similar to the addition of scalar quantities; what you can't add directly, of course, is their lengths. Similarly, a vector in space has three components; you can add each of the components separately.