Mathematics

Mathematics

Problem

L_1

and

L_2

are two lines whose vector equations are

L_1: r = \lambda[(\cos \theta + \sqrt{3})i + (\sqrt{2} \sin \theta)j + (\cos \theta - \sqrt{3})k]

and

L_2: r = \mu(ai + bj + ck)

where,

\lambda

and

\mu

are scalars and

\alpha

is the acute angle between

L_1

and

L_2

. If the angle

\alpha

is independent of

\theta

, then the value of

\alpha

is a.

\frac{\pi}{6}

b.

\frac{\pi}{4}

c.

\frac{\pi}{3}

d.

\frac{\pi}{2}

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