Final answer:
To write the first expression in terms of the second expression, determine the quadrant of the terminal point. Since the point is in quadrant IV, both x and y coordinates will be negative. The first expression can be written as ř(t) = -1î - 2ĵ + z(t)k.
Step-by-step explanation:
To write the first expression in terms of the second expression, we need to determine the quadrant of the terminal point determined by t. Since the point is in quadrant IV, both x and y coordinates will be negative. We can use the information about the components of ř(t) = x(t)î + y(t)ĵ + z(t)k to write the expression in terms of the second expression.
Let’s assume that x(t) = -1 and y(t) = -2 when the terminal point is in quadrant IV. Using these values, the first expression can be written as ř(t) = -1î - 2ĵ + z(t)k.