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How does vector calculus apply in fluid mechanics?
The velocity at each point in the fluid is a vector. If the fluid is compressible, the divergence of the velocity vector is nonzero in general. In a vortex the curl is nonzero.
Can a a vector with 0 magnitude have a nonzero component?
No.
Can a vector have a component equal to zero and still have a nonzero magnitude?
Yes. For instance, the 2-dimensional vector (1,0) has length sqrt(1+0) = 1 A vector only has zero magnitude when all its components are 0.
Can a vector have zero magnitude if one of its components is nonzero?
A vector comprises its components, which are orthogonal. If just one of them has magnitude and direction, then the resultant vector has magnitude and direction. Example:- If A is a vector and Ax is zero and Ay is non-zero then, A=Ax+Ay A=0+Ay A=Ay
Can A plus B equal zero when A and B have nonzero magnitudes?
If 'A' and 'B' are vectors, and their magnitudes are equal, andtheir directions are opposite, then their vector sum is zero.
How does vector calculus apply in fluid mechanics?
The velocity at each point in the fluid is a vector. If the fluid is compressible, the divergence of the velocity vector is nonzero in general. In a vortex the curl is nonzero.
Can a a vector with 0 magnitude have a nonzero component?
No.
When can a nonzero vector have a zero horizontal component?
When the direction of the vector is vertical. Gravitational force has zero horizontal component.
Can a vector have a component equal to zero and still have a nonzero magnitude?
Yes. For instance, the 2-dimensional vector (1,0) has length sqrt(1+0) = 1 A vector only has zero magnitude when all its components are 0.
Can a vector have zero magnitude if one of its components is nonzero?
A vector comprises its components, which are orthogonal. If just one of them has magnitude and direction, then the resultant vector has magnitude and direction. Example:- If A is a vector and Ax is zero and Ay is non-zero then, A=Ax+Ay A=0+Ay A=Ay
Can A plus B equal zero when A and B have nonzero magnitudes?
If 'A' and 'B' are vectors, and their magnitudes are equal, andtheir directions are opposite, then their vector sum is zero.
Under what conditions is it possible to have a constant speed yet a nonzero acceleration?
A body can have a constant speed yet a nonzero acceleration when it is in a circular motion because though it is having a constant speed but the direction in which it is moving keeps changing at each instance and since acceleration is a vector quantity,it becomes non-zero.
Why can velocity be negative but nonzero speed is always positive?
speed is a scalar quantity with magnitude only but no direction; velocity is a vector with both magnitude (speed) AND direction, which could be positive or negative
What is the product of two or nonzero whole numbers?
The product of two nonzero whole numbers will be a nonzero whole number.
When was Nonzero Records created?
Nonzero Records was created in 2001.
What is a nonzero multiple?
A nonzero multiple of a number is a multiple which is not equal to 0.
Can a body have nonzero average speed but have zero average velocity give example?
An object moving in a circular path at constant speed will have a non-zero average speed and zero average velocity since velocity is a vector parameter,
