Question

Parametric equation of tangent line calculator 3d.

A) Parametric equations for tangent lines are not applicable in 3D.
B) Use the point-slope form for tangent lines in 3D space.
C) Parametric equations for tangent lines can only be found in 2D.
D) Use the normal vector method for 3D tangent lines.

Answer 1

In 3D space, parametric equations are not used to represent tangent lines. Instead, we use the point-slope form for tangent lines.

Step-by-step explanation:

In 3D space, parametric equations are not used to represent tangent lines. Instead, we use the point-slope form for tangent lines. The point-slope form states that the equation of a line can be written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. This form can be extended to 3D space by adding a z component to the equation.

For example, if we have a point P(x1, y1, z1) on a curve and we want to find the equation of the tangent line at that point, we can find the slope using calculus and then use the point-slope form to write the equation of the tangent line.

So, the correct answer is B) Use the point-slope form for tangent lines in 3D space.