Q16 of 230 Page 30

Write the angle between the line and the plane x + y + 4 = 0.

We know, the angle between the line and the plane Ax + By + Cz + D=0 is given as,

In this case, l=2, m=1, n= - 2, A=1, B=1, C=0 and D=4.

Putting these values in equation (1) we get,

=45°

Hence, the angle between the line and the plane x + y + 4=0 is 45 ̊

Write the position vector of the point where the line meets the plane .

Write the value of k for which the line is perpendicular to the normal to the plane .

Write the intercept cut off by the plane 2x + y – z = 5 on x - axis.

Find the length of the perpendicular drawn from the origin to the plane 2x – 3y + 6z + 21 = 0.