Find a vector parametrization of the circle of radius 6 in the xy-plane, centered at the origin, oriented clockwise. The point (6,0) should correspond to t=0. Use t as the parameter in your answer.

Answer with Step-by-step explanation:

We are given that  

Radius of circle,r=6 units

Center of circle=(0,0)

In xy-plane , for clockwise orientation

Substitute the value of r

When we change the orientation then sign of the parameter will be change.

At t=0, x=6  but the sign of y will be change

Therefore,

Substitute t=0

Hence, the point (6,0) should to correspond to t=0

x=6 and x=3

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