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.
reverse process of vector addition is vector resolution.
The components of a vector are magnitude and direction.
The components of a vector are magnitude and direction.
Spliting up of vector into its rectangular components is called resolution of vector
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.
The angle between the rectangular components of a vector can be calculated using trigonometry. You can use the arctangent function to find the angle. For example, if you have a vector with components (x, y), the angle would be arctan(y/x).
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
To find the components of a vector, first determine the direction of the vector using angles or a reference axis. Then, use trigonometry (like sine and cosine functions) to calculate the components in the x and y directions.