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When the component vectors have equal or opposite directions (sin(Θ) = 0) i.e. the vectors are parallel.
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What is the product of the first three whole numbers?
If zero is counted as a whole number, then the first three whole numbers are zero, one and two and the product of ANY series containing zero is ZERO. If, on the other hand, only non-zero numbers are considered, then the series is one, two and three and the product is six.
The product of two numbers that are less than zero is also less than zero.?
No. The product of two negative numbers is positive.
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 zero multiplied by negative 5?
Any number multiplied by zero gives a product of 0.
What is the product of a numerator of one ratio and denominator of other ratio?
cross product
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.
Dot product of two vectors is equal to cross product what will be angle between them?
(A1) The dot product of two vectors is a scalar and the cross product is a vector? ================================== (A2) The cross product of two vectors, A and B, would be [a*b*sin(alpha)]C, where a = |A|; b = |B|; c = |C|; and C is vector that is orthogonal to A and B and oriented according to the right-hand rule (see the related link). The dot product of the two vectors, A and B, would be [a*b*cos(alpha)]. For [a*b*sin(alpha)]C to equal to [a*b*cos(alpha)], we have to have a trivial solution -- alpha = 0 and either a or b be zero, so that both expressions are zeroes but equal. ================================== Of course one is the number zero( scalar), and one is the zero vector. It is a small difference but worth mentioning. That is is to say if a or b is the zero vector, then a dot b must equal zero as a scalar. And similarly the cross product of any vector and the zero vector is the zero vector. (A3) The magnitude of the dot product is equal to the magnitude of the cross product when the angle between the vectors is 45 degrees.
How do you get product of the zero?
multiply anything by zero and your product will be zero!
What are different conditions that could make vector product zero?
First of all, you have to define what you mean by "vector product".-- The "dot product" is zero if the vectors are perpendicular, regardless of their magnitudes.-- The "cross product" is zero if the vectors are collinear or opposite, regardless of their magnitudes.-- Perhaps when you say "product", you mean the "result" of two vectors, whicha mathematician or physicist would cal their "sum".The sum of two vectors is zero if their magnitudes are equal and their directionsdiffer by 180 degrees.An infinite number of other possibilities exist for a sum of zero, depending on themagnitudes and directions of two vectors.
When you use cross product and dot product in vector?
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.
What is the product of the ten 1-digit numbers?
If you're including zero, the product is zero.
What is the product of zero and any number?
The product of zero and any number is always 0.
What is the product of a number and zero?
A number multiplied by zero equals zero.
What is the cross product of a vector itself?
0 is a cross product of a vector itself
What is a product of any rational number and zero?
zero
What is the product of any integer and zero?
Zero.
Why the average product increases but never reaches zero?
why average product labour never gets to zero
