We use the dot product cos and in vector we use the vector product sin because of the trigonometric triangle.
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.
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Mathematics is the language of physics, and all the sciences are branches of physics. So if we are to explain, describe, or understand anything in our universe, we must use mathematics in one form or another to come to that understanding.
Work is defined as the dot product of force times distance, or W = F * d = Fd cos (theta) where theta is the angle in between the force and distance vectors (if you are doing two dimensions). In three dimensions, use the standard definition for the dot product (using the component form of the vectors).
We use the dot product cos and in vector we use the vector product sin because of the trigonometric triangle.
Dot product and cross product are used in many cases in physics. Here are some examples:Work is sometimes defined as force times distance. However, if the force is not applied in the direction of the movement, the dot product should be used. Note that here - as well as in other cases where the dot product is used - the product is greatest when the angle is zero; also, the result is a scalar, not a vector.The cross product is used to define torque (distance from the axis of rotation, times force). In this case, the product is greatest when the two vectors are at right angles. Also - as in any cross product - the result is also a vector.Several interactions between electricity and magnetism are defined as cross products.
Because in dot product we take projection fashion and that is why we used cos and similar in cross product we used sin
To multiply two vectors in 3D, you can use the dot product or the cross product. The dot product results in a scalar quantity, while the cross product produces a new vector that is perpendicular to the original two vectors.
The simplest explanation is this: physics is the use of mathematics to help explain everything around us beginning with the laws of nature
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.
This will vary dramatically depending upon the food product, the packaging, the intended use of the product and the country it is coming from. For meat and poultry products, you can check on www dot fsis dot usda dot gov - on the right-hand side there is a link to "Import or Export Meat and Poultry Products" that will take you to information about the product. For most other foods, I would recommend starting at www dot fda dot gov and go from there. For seafood, you may need to start at www dot noaa dot epa dot gov.
Explain real facts how your product use to customer
The principles of physics help explain how light interacts with the structures of animal eyes, such as lenses and photoreceptor cells, to form images. Understanding properties of light, such as reflection and refraction, helps explain how animals perceive and interpret visual information from their environment. Additionally, physics principles like the conservation of energy help explain how animals use the energy from light to process visual stimuli and navigate their surroundings.
Physics is the science that studies the fundamental principles governing the behavior of matter and energy in the universe. It seeks to understand and explain natural phenomena through the use of mathematical laws and experimental observations.
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You can use DOT 4 in place of DOT 3 but don't use DOT 3 in place of DOT 4. DOT 4 has a higher boiling point than DOT 3. DOT 4 is in there for a reason.