Given the parametric curve x(t) = 4 cos(t), y(t) = 12 sin(t). Find all the points on the curve at which the slope of the tangent line is m = -1. Enter your solution as a comma separated list of ordered pairs (a, b) or if there are no points on the curve at which the slope of the tangent line is the given slope enter NONE. (Hint: The arctan function in your calculator is useful, make sure the calculator's mode is in radian.)

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Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.