1.

Explain the resolution of vectors in three dimensional co-ordinates .

Answer»

Solution :In the Cartesian coordinate system any vector `vec(A) `can be resolved into three components along x, y and Z direction. This is SHOWN in the FIGURE (B) (Components of a vectorin two dimensions and three dimensions).
Consider a 3-dimensional coordinate system. With respect to this a vector can be WRITTEN in component form as
`vec(A) = A_(x)hat(i) +A_(y)hat(j) +A_(z) hat(k)`
`A = sqrt(A_(x)^(2)+A_(y)^(2)+A_(z)^(2))`


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