Let be the line of intersection of the planes and

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Let

L

be the line of intersection of the planes

2x + 3y + z = 1

and

x + 3y + 2z = 2

. If

L

makes an angle

\alpha

with the positive

X

-axis, then

\cos \alpha

equals (1)

1/\sqrt{3}

(2)

1/2

(3)

1

(4)

1/\sqrt{2}