Q12 of 136 Page 28

Write the value of λ for which the lines and are perpendicular to each other.

We have,

The given lines are parallel to vectors,

and

Now, for we must have,

-7λ -10 = 0

Write the direction cosines of the line whose cartesian equations are 2x = 3y = –z.

Write the angle between the lines 2x = 3y = –z and 6x = –y = –4z.

Write the formula for the shortest distance between the lines

Write the condition for the lines to be intersecting.