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Can dotproduct of two vectors be negative?
The dot-product of two vectors tells about the angle between them. If the dot-product is positive, then the angle between the two vectors is between 0 and 90 degrees. When the dot-product is negative, the angle is more than 90 degrees. Therefore, the dot-product can be any value (positive, negative, or zero). For example, the dot product of the vectors and is -1*1+1*0+1*0 = -1 which is negative.
What will be the sign of the product if we multiply together 199 negative numbers and 10 positive numbers?
If ever you have an odd number of negative numbers, the product will always be a negative number. So the answer to this question is negative.
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
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.
