A line has the Cartesian equation (x−3)/2 = (y+1)/−3 = (z−2)/4. Find the coordinates of a general point on this line. A. (2λ+3, −3λ−1, 4λ+2) B. (3λ+2, −λ−3, 2λ+4) C. (2λ−3, −3λ+1, 4λ−2) D. (3λ−2, λ+3, 2λ−4) Answer: A) (2λ+3, −3λ−1, 4λ+2) Explanation: Let (x−3)/2 = (y+1)/−3 = (z−2)/4 = λ. Then x = 2λ + 3, y = −3λ − 1, z = 4λ + 2.

imo class 12 three dimensional geometry

A line has the Cartesian equation (x−3)/2 = (y+1)/−3 = (z−2)/4. Find the coordinates of a general point on this line.

VAVidaara Admin Asked 6d ago 0 views 0 answers

A line has the Cartesian equation (x−3)/2 = (y+1)/−3 = (z−2)/4. Find the coordinates of a general point on this line.

Answer: A) (2λ+3, −3λ−1, 4λ+2)

Explanation: Let (x−3)/2 = (y+1)/−3 = (z−2)/4 = λ. Then x = 2λ + 3, y = −3λ − 1, z = 4λ + 2.