0
Want this question answered?
Be notified when an answer is posted
Add your answer:
Earn +20 pts
What is the definition of at rest in science?
Having a velocity vector equal to 0 (zero) with respect to the frame of reference.
What is the Minimum number of vectors with unequal magnitudes whose vector sum can be zero?
-- A singe vector with a magnitude of zero produces a zero resultant.-- Two vectors with equal magnitudes and opposite directions produce a zero resultant.
Which orientation of an electric dipole in a uniform electric field would correspond to stable equilibrium?
when angle 0 b/w dipole moment vector p and electric field vector E is zero then potential energy of dipole, U=-pEcos0 =-pE and torque=pEsin0=0;which means that the electric dipole is in stable equilibrium.
A B 0 what can you say about the components of the two vectors?
One of them is negative or both of them are zero,
How can a null vector be a vector if there is no direction?
It has magnitude 0 and a direction and obeys vector laws, so is a vector
Is vector A parallel vector B given that vector A is equal to the zero vector and vector B is equal to the zero vector?
The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
What is the difference between zero and vector zero?
The zero vector occurs in any dimensional space and acts as the vector additive identity element. It in one dimensional space it can be <0>, and in two dimensional space it would be<0,0>, and in n- dimensional space it would be <0,0,0,0,0,....n of these> The number 0 is a scalar. It is the additive identity for scalars. The zero vector has length zero. Scalars don't really have length. ( they can represent length of course, such as the norm of a vector) We can look at the distance from the origin, but then aren't we thinking of them as vectors? So the zero vector, even <0>, tells us something about direction since it is a vector and the zero scalar does not. Now I think and example will help. Add the vectors <2,2> and <-2,-2> and you have the zero vector. That is because we are adding two vectors of the same magnitude that point in opposite direction. The zero vector and be considered to point in any direction. So in summary we have to state the obvious, the zero vector is a vector and the number zero is a scalar.
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.
How do you define and identify Zero property of multiplication?
Any number times zero is zero. a x 0 = 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
Which vector have no magnitude?
The zero vector has no magnitude. v= Io + Jo + k0 has no magnirude |V|= sqroot(o^2 + 0^2 + 0^2)=0.
Define zero exponent?
Except for 0. Anything raised to the 0 power equals 1
Why null vector is called vector?
The same sort of reasoning that zero is a number. It ensures that the set of all vectors is closed under addition and that, in turn, allows the generalization of many operations on vectors.Also, the way we got around the concept of having something with zero magnitude also have a direction is pretty cool. We made it up! In abstract algebra it's perfectly OK to constrain a specific algebraic structure with rules (called axioms) that the structure must follow.In your example, the algebraic structure that vectors are in is called a "vector space." One of the axioms that define a vector space is:"An element, 0, called the null vector, exists in a vector space, v, such that v + 0 = vfor all of the vectors in the vector space."Ta Da!! Aren't we clever?
What is the definition of at rest in science?
Having a velocity vector equal to 0 (zero) with respect to the frame of reference.
What is the origin of 0 zero?
the origin is define as the point (0,0) it means no motion or no displacement
What is 1 times 0?
It would be zero because anything times zero is zero.
What can you say about two vectors if vector A vector B 0?
Depends on the situation. Vector A x Vector B= 0 when the sine of the angle between them is 0 Vector A . Vector B= 0 when the cosine of the angle between them is 0 Vector A + Vector B= 0 when Vectors A and B have equal magnitude but opposite direction.
