1)

The vector equation of the symmetrical form of equation of straight line x53=y+47=z62 is


A) r=(3ˆi+7ˆj+2ˆk)+μ(5ˆi+4j6ˆk)

B) r=(5ˆi+4ˆj6ˆk)+μ(3ˆi+7j+2ˆk)

C) r=(5ˆi4ˆj6ˆk)+μ(3ˆi7j2ˆk)

D) r=(5ˆi4ˆj+6ˆk)+μ(3ˆi+7j+2ˆk)

Answer:

Option D

Explanation:

xx1a=yy1b=zz1c have vector form

= (x1ˆi+y1ˆj+z1ˆk)+λ(aˆi+bˆj+cˆk)

Required equation in vector form is

r=(5ˆi4ˆj+6ˆk)+μ(3ˆi+7j+2ˆk)