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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.
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.
Explain it How can you use a pattern to find the product 5 multiply by12?
60
Why is mathematics important to scientists?
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.
What is defined as force times distance?
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).
