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No. The magnitude of a vector can't be less than any component.

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Q: Can a vector have zero magnitude if one of its component is not zero?
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Will a vector be zero if one of its compoent is zero?

No. In order for the magnitude of a vector to be zero, the magnitude of all of its components will need to be zero.This answer ignores velocity and considers only the various N-axis projections of a vector. This is because direction is moot if magnitude is zero.


Can a vector be zero if one of its component is not zero?

no


What is meant by scalar and vector?

Basically, a scalar magnitude is one in which the direction is not relevant; a vector magnitude is one in which the direction is relevant. A scalar can be represented by a single real number; a vector requires at least two numbers (for example, the x-component and the y-component; or alternately a magnitude and a direction).


It is possible for a vector to be zero if a component of the vector is not zero?

No. The value of a vector is determined by the square root of the sum of its components squared. Value= Sqrt(x^2 + y^2 + z^2). The components of real vectors are real numbers and the square of a real number is a positive number. The sum of a positive and zeros is not zero but a positive. Vectors were created by William Rowan Hamilton in 1843 when he created Quaternions. Quaternions consist of a real number and three vector numbers. The vectors are designated by i, j, k where i^2=j^2=k^2=ijk= -1. The square of a vector is a negative one . This used to be called an imaginary number. The components of vectors are real numbers, like v=2i + 3j -5k, the value of v = sqrt(4 + 9 + 25)=sqrt(38). Complex numbers are a subset of quaternions involving one vector "i".


If one component of a vector A is zero along the direction of another vector B then in what direction the two vectors will be?

opposite direction.

Related questions

If one of the rectangular component of a vector is not zero can its magnitude be zero?

No.


Can a vector have zero magnitude if one of its component is non zero?

No.


Can a vector have zero magnitudes if one of its component is not zero?

No. The magnitude of a vector can't be less than any component.


Can the magnitude of a vector be equal to one of its components?

Yes. A vector in two dimensions is broken into two components, a vector in three dimensions broken into three components, etc... If the value of all but one component of a vector equal zero then the magnitude of the vector is equal to the non-zero component.


Will a vector be zero if one of its compoent is zero?

No. In order for the magnitude of a vector to be zero, the magnitude of all of its components will need to be zero.This answer ignores velocity and considers only the various N-axis projections of a vector. This is because direction is moot if magnitude is zero.


Can a vector be zero if one of its component is not zero?

no


Can a vector have 0 component along a line and still have non zero magnitude?

Huh?I have been kicking around your question in my mind for five minutes trying to figure out an answer or a way to edit your question into an unambiguous form, but I'm stumped. I don't know what you mean by "zero component along a line."If you look at the representation of a vector on paper using a Cartesian coordinate system -- in other words, one using x and y axes -- the orthogonal components of the vector are the projections of the vector on the x and y axes. If the vector is parallel to one of the axes, its projection on the other axis will be zero. But the vector will still have a non-zero magnitude. Its entire magnitude will project on only one axis.But a vector must have magnitude AND direction. And if it has zero magnitude, its direction cannot be determined.Still trying to make heads or tails out of your question.......If you draw a random vector on a Cartesian grid, it will have an x component and a y component, which are both projections of the original vector upon the axes. However, it could also be represented by projecting it onto a new set of orthogonal axes -- call them x' and y' -- where the x' axis is oriented to be parallel to the original vector and the y' vector is perpendicular to it. In that case, the x' component will have a magnitude equal to the magnitude of the original vector -- in other words, a non-zero value along a line parallel to the x' axis -- and a zero magnitude in the y' direction.


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 vector be zero if one of its component is zero?

No never


Can a vector have a component greater than its magnitude?

No a vector may not have a component greater than its magnitude. When dealing with highschool phyics problems, the magnitude is usually the sum of two or more components and one component will offset the other, causing the magnitude to be less then its component


What is the difference between a resultant vector and a component vector?

The resultant vector describes the complete vector, magnitude and direction; while the component vector describes a single component of a vector, like the x-component. If the resultant vector has only one component, the resultant and the component are the same and there is no difference.t


What is meant by scalar and vector?

Basically, a scalar magnitude is one in which the direction is not relevant; a vector magnitude is one in which the direction is relevant. A scalar can be represented by a single real number; a vector requires at least two numbers (for example, the x-component and the y-component; or alternately a magnitude and a direction).