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What is vector dot product?
The dot-product of two vectors is the product of their magnitudes multiplied by the cosine of the angle between them. The dot-product is a scalar quantity.
What is the gradient of a dot product and how is it calculated?
The gradient of a dot product is a vector that represents the rate of change of the dot product with respect to each variable. It is calculated by taking the derivative of the dot product with respect to each variable and combining them into a vector.
Is triple dot product defined?
If by "triple dot product" you mean u·v·w, then no, because that would imply the existence of a dot product between a vector and a scalar.
What are the applications of cross product and dot product in physics?
cross: torque dot: work
Is there any direction associated with the dot product of two vectors?
No. The dot product is also called the scalar product and therein lies the clue.
Why in dot product you use cos and in vector product sin?
We use the dot product cos and in vector we use the vector product sin because of the trigonometric triangle.
What is the angle in which the dot product of two non zero vectors is equal?
It depends on what the dot product is meant to be equal to.
Scalar or dot product?
They are the same.
in what components dot and cross product resolve?
A dot product is a scalar product so it is a single number with only one component. A cross product or vector product is a vector which has three components like the original vectors.
What is dot products and give some examples?
A Dot product is a very useful tool in both mechanics and 3D graphics. It calculates the cosine of the angle between two vectors.In two-dimensional space, the dot product of vectors [a, b] and [c, d] is ac + bd.Mechanical work is the dot product of force and displacement vectors.Magnetic flux is the dot product of the magnetic field and the area vectors.
Why we use sine angle in cross product while cos angle in dot product?
Because in dot product we take projection fashion and that is why we used cos and similar in cross product we used sin
What is the importance of a dot product being equal to zero?
Vectors are said to be orthogonal if their dot product is zero.Vectors in Rn are perpendicular if they are nonzero and orthogonal.
