can you please explain the concept of resolution of vectors into components
Asked by vishalt | 16th Apr, 2010, 02:08: PM
Vector has a length from source point to a destination point and also direction from source to destination.
For example, vector OA, starts from point O and ends on A.
But the length of the vector is not the only way to reach from point O to A.
If we use cartesian coordinate system, then we can start from O and move some distance in x direction, then some in y and similarly in z. And still we'll reach to point A.
Those some distances along x, y and z directions are called the components of the vector in the x, y and z direction respectively.
For example OA = ai + bj + ck, where a, b and c are the components ("those some distances along x, y and z directions respectively") of the vector OA. And i, j and k are unit vectors.
When we have to add two vectors we add their corresponding components.
Answered by | 16th Apr, 2010, 02:32: PM
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