What is the Cartesian equation of the line passing through the point (5, 2, −4) and parallel to the vector 3i + 2j − 8k?

What is the Cartesian equation of the line passing through the point (5, 2, −4) and parallel to the vector 3i + 2j − 8k?

• A. (x−5)/3 = (y−2)/2 = (z+4)/−8
• B. (x−3)/5 = (y−2)/2 = (z+8)/−4
• C. (x+5)/3 = (y+2)/2 = (z−4)/−8
• D. (x−5)/3 = (y−2)/2 = (z−4)/8

Answer: A) (x−5)/3 = (y−2)/2 = (z+4)/−8

Explanation: The Cartesian equation is (x−x₁)/a = (y−y₁)/b = (z−z₁)/c. Here (x₁,y₁,z₁) is (5,2,−4) and DRs are 3,2,−8.