Question

Find a vector equation and parametric equations for the line

A) The vector equation is unnecessary for this problem.
B) Sorry, specific information about the line is required.
C) The vector equation and parametric equations cannot be determined without additional data.
D) The vector equation is given by r(t) = a + tb, and parametric equations are x = at, y = bt.

Answer 1

The vector equation is r(t) = a + tb, and the parametric equations are x = at and y = bt.

Step-by-step explanation:

The question is asking for the vector equation and parametric equations of a line. The correct answer is D) The vector equation is given by r(t) = a + tb, and parametric equations are x = at, y = bt.

This means that the position vector of a point on the line is given by r(t) = a + tb, where a is the initial position vector and b is the direction vector of the line. The parametric equations x = at and y = bt represent the x-coordinate and y-coordinate of the point on the line as a function of the parameter t.