Answer: sqrt(5).
- A sqrt(2)
- B sqrt(5)
- C sqrt(10)
- D 1
Correct answer: B. sqrt(5)
Explanation: Line 1: (1,2,t) direction (0,0,1). Line 2: (s,3,4) direction (1,0,0). b<sub>1</sub> x b<sub>2</sub> = (0,0,1)x(1,0,0) = (0,1,0). |b<sub>1</sub> x b<sub>2</sub>|=1. (a<sub>2</sub>-a<sub>1</sub>)=(0,1,2). SD = |(0,1,2).(0,1,0)|/1 = |1| = 1. Answer is 1 (index 3).
Three mutually perpendicular axes x, y, z meeting at the origin O, with a point P located by its (x, y, z) coordinates.
Concept context
Lines and planes in 3D space, direction cosines, distances, and angles