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.
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.
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.
cross: torque dot: work
We use the dot product cos and in vector we use the vector product sin because of the trigonometric triangle.
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.
Yes, a scalar product can be negative if the angle between the two vectors is greater than 90 degrees. In this case, the dot product of the two vectors will be negative.
Yes, a scalar product can be negative if the angle between the two vectors is obtuse (greater than 90 degrees). The scalar product is the dot product of two vectors and is equal to the product of their magnitudes and the cosine of the angle between them. A negative scalar product indicates that the vectors are pointing in opposite directions.
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.
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.
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.
cross: torque dot: work
No. The dot product is also called the scalar product and therein lies the clue.
We use the dot product cos and in vector we use the vector product sin because of the trigonometric triangle.
It depends on what the dot product is meant to be equal to.
A product that results in a negative number such as multiplication of a positive number with a negative number resulting in a negative number, a negative product.
what is the product of negative 4 and negative 6?