Question

The projection of the line joining (3,4,5) and (4,6,3) on the line joining (-1,2,4) and (1,0,5) is:

• A. \(\dfrac{4}{3}\)
• B. \(\dfrac{2}{3}\)
• C. \(\dfrac{8}{3}\)
• D. (1)/(3)

Hint:

Projection =( u· v)/(| v|).

Answer 1

The Correct Option is B

Step 1: Direction vectors: u=(1,2,-2), v=(2,-2,1).
Step 2: Scalar projection: ( u· v)/(| v|)=(2)/(3).