Can any of the component of a given vector have a greater magnitude than that of the vector itself?

Originally Answered: Can a vector have a component greater than the vectors magnitude? No, it can’t.

Can the magnitude of a vector be less than the magnitude of any of its components?

The magnitude of any resultant vector of two components vectors can not be smaller than any of its component vectors because the positive combination…

Can a component of a vector be equal to the magnitude?

The component of a vector may be less than, greater than or equal to its magnitude, depending upon the vector and its components.

Can a unit vector have any components with magnitude greater than unity can it have any negative components?

Proof 2 2 2 | | 1 + 1 + 1 | | 1 + 1 + 1 | | 3 The given has the modulus greater than unity, hence it is not a unit vector Problem (b) Step 1: The unit vector can not have the components greater than 1. Hence unit vector can not have magnitudes greater than 1.

Why the magnitude of a vector can never be less than the magnitude of any of its components?

The magnitude of a vector can never be less than the magnitude of any of its components. The magnitude of a vector an only zero if all of its components are zero. The eastward component of vector A is equal to the westward component of vector B and their northward components are equal.

Can the magnitude of the resultant of two vectors be less than the magnitude of each vector explain?

Reason : The magnitude of the resultant vector of two given vectors can never be less than the magnitude of any of the given vector. Assertion: A vector qunatity is a quantity that has both magnitude and a direction and obeys the triangle law of addition or equivalentyly the parallelogram law of addition.

Under what circumstances would a vector have components that are equal in magnitude?

The magnitude of the component may be equal to the magnitude of the vector if and only of the projection is taken along itself, otherwise it will always be less.

Can a vector have a magnitude equal to zero if one of its components is non zero?

A vector with zero magnitude cannot have non-zero components . Because magnitude of given vector ˉV=√V2x+V2y must be zero . This is possible only when V2x and V2y are zero.

Can the component of a vector be greater than the component?

Yes it can be. If we consider only orthogonal projections… then the component can never be greater. But if it is not mentioned that only orthogonal projections are required.. then we can break the vector into any two vectors.

Is the magnitude of component of a vector equal to Cos(Theta)?

No, magnitude of component of vector is given by multiplying the vector to cos(theta). Since value of cos always gives -1<1.

Is it possible to break a vector into two vectors?

But if it is not mentioned that only orthogonal projections are required.. then we can break the vector into any two vectors. In such case one can obtain the magnitude of component greater than the vector itself. For example we can break a vector 5i as 6i+ (-i),where ‘i’ is the unit vector.

How to find the magnitude of a vector in R^3?

To find out the magnitude for a vector in R^3, for example, you will have to sum the square roots of the components,and then take the square of the sum, like in this formula M^2=(x)^2+(y)^2+(z)^2. (M is the magnitude of the vector).