1.

Explain how a vector canbe resolved into its rectangular components components in two dimension .

Answer»

SOLUTION :In a two dimensional Cartesian COORDINATE system the vector `vec(A) `is GIVEN by
`vec(A) = A_(x) hat(i) + A_(y) hat(j)`
If`vec(A) `makes an angle `theta`with x - axis, and `A_(x) and A_(y)`are the components of along x-axis and y-axis respectively , then as shown in figure.
`A_(x) = A cos theta, A_(y) = A sin theta`
Where 'A' is the magnitude (length) of the vector `vec(A), A = SQRT(A_(x)^(2) +A_(y)^(2))`


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