Mathematics

Problem

The vector equations of two lines

L_1

and

L_2

are respectively,

r = 17i - 9j + 9k + \lambda(3i + j + 5k)

and

r = 15i - 8j - k + \mu(4i + 3j)

L_1

and

L_2

are skew lines. II.

(11, -11, -1)

is the point of intersection of

L_1

and

L_2

. III.

(-11, 11, 1)

is the point of intersection of

L_1

and

L_2

. IV.

\cos^{-1}\left(\frac{3}{\sqrt{35}}\right)

is the acute angle between,

L_1

and

L_2

. Then, which of the following is true ? a. II and IV b. I and IV c. Only IV d. III and IV