Question

Find the parametric equations for the line passing through the point P(2,-3,4) and parallel to the vector (4,4,-3).

Answer 1

The parametric equations for the line passing through the point P(2,-3,4) and parallel to the vector (4,4,-3) are x = 2 + 4t, y = -3 + 4t, and z = 4 - 3t.

Step-by-step explanation:

To find the parametric equations for the line passing through the point P(2,-3,4) and parallel to the vector (4,4,-3), we can use the equation of a line in parametric form. Let t be a parameter. The parametric equations can be written as:

x = 2 + 4t

y = -3 + 4t

z = 4 - 3t