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Because in dot product we take projection fashion and that is why we used cos and similar in cross product we used sin

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12y ago

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Why you use sin in cross product?

The sine function is used in the cross product because the magnitude of the cross product of two vectors is determined by the area of the parallelogram formed by those vectors. This area is calculated as the product of the magnitudes of the vectors and the sine of the angle between them. Specifically, the formula for the cross product (\mathbf{A} \times \mathbf{B}) includes (|\mathbf{A}||\mathbf{B}|\sin(\theta)), where (\theta) is the angle between the vectors, capturing the component of one vector that is perpendicular to the other. Thus, the sine function accounts for the directional aspect of the vectors in determining the resultant vector's magnitude and orientation.


Why you use cosine theta with cross product?

Normally you use sine theta with the cross product and cos theta with the vector product, so that the cross product of parallel vectors is zero while the dot product of vectors at right angles is zero.


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.


Can the vector product of two vectors be negative?

no .....the scalar product of two vectors never be negative Yes it can If A is a vector, and B = -A, then A.B = -A2 which is negative. Always negative when the angle is between the vectors is obtuse.


How do you compare the angle of incidence and the angle refraction?

The angle of incidence is the angle between the incident ray and the normal to the surface, while the angle of refraction is the angle between the refracted ray and the normal to the surface. These angles are related by Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the two media the light is traveling through.


The sine of a 30 degrees angle equals what?

the sine of a 30 degree angle is 0.5


What is the size of an angle when the sine is 6352?

the sine of an angle can't be greater than 1.0


Is sine of an angle directly proportional to an angle?

No. The sine of an angle is not directly proportional to the angle. It is a function of the angle, but it is periodic, repeating every 360 degrees of the angle.


How does kvar work?

kvar can be calculated as follows the a product KVA andt the sine of the angle between the KVA and KW.


How calculate kvar?

kvar can be calculated as follows the a product KVA andt the sine of the angle between the KVA and KW.


What is the sine of angle of incidence divided by the sine of angle of refraction of equal optical density?

It is 1.


How do you figure out the sine of a triangle?

An angle can have a sine ratio, not a triangle.