Question

Through which point does the line \(\dfrac{x-100}{101}=\dfrac{y-99}{102}=\dfrac{z-98}{103}\) pass?

• A. \((101,102,103)\)
• B. \((98,99,100)\)
• C. \((100,99,98)\)
• D. \((99,100,101)\)

Hint:

The "\(-x_0,-y_0,-z_0\)" numerators reveal the point \((x_0,y_0,z_0)\) on the line.

Answer 1

The Correct Option is C

Set parameter \(t=0\) in \(x=100+101t,\ y=99+102t,\ z=98+103t\). This gives the point \((100,99,98)\) on the line.