Usually the two familiar components are opposite and adjacent. For opposite sine function and for adjacent cosine function have to used. Hence as R is to be resolved then the components are R sin@ and R cos@, where @ is the angle of R with its adjacent.
No. The components of a vector will change based on what coordinate system is used to express that vector.
If the components are in the i and j directions, for example, then if the vector is mi + nj then the coefficients m and n can be used to find the magnitude and direction.The magnitude is the hypotenuse of a right triangle with legs m and n, so it is sqrt(m² + n²).
Yes.
It is the other way round - it's the vector that has components.In general, a vector can have one or more components - though a vector with a single component is often called a "scalar" instead - but technically, a scalar is a special case of a vector.
Unless the vector is one dimensional, or only valued along one base in a multidimensional space, in which case the magnitude is equal to it's components, a vector's magnitude has to be greater than its components.
If they are parallel, you can add them algebraically to get a resultant vector. Then you can resolve the resultant vector to obtain the vector components.
The components of a vector are magnitude and direction.
The components of a vector are magnitude and direction.
Ans :The Projections Of A Vector And Vector Components Can Be Equal If And Only If The Axes Are Perpendicular .
The magnitude of a vector can be found by taking the square root of each of the vector components squared. For example, if you had the vector 3i+4j, to find the magnitude, you take sqrt ( 3²+4² ) To get: sqrt ( 9+16 ) sqrt ( 25 ) = 5 Works the same in 3D or more, just put all the vector components in.
That all depends on the angles between the vector and the components. The only things you can say for sure are: -- none of the components can be greater than the size of the vector -- the sum of the squares of the components is equal to the square of the size of the vector
If all the components of a vector are zero, the magnitude of the vector will always be zero.
prrpendicular projections of a vector called component of vector
decomposition of a vector into its components is called resolution of vector
No. The components of a vector will change based on what coordinate system is used to express that vector.
NO, a vector will not be zero if one of its components will be zero.
A vector can have as many components as you like, depending on how may dimensions it operates in.