A straight line ' ' cuts the lines and of a parallelogram at points and

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

A straight line '

L

' cuts the lines

AB, AC

and

AD

of a parallelogram

ABCD

at points

B_1, C_1

and

D_1

, respectively. If

AB_1 = \lambda_1 AB, AD_1 = \lambda_2 AD

and

AC_1 = \lambda_3 AC

, then

\frac{1}{\lambda_3}

is equal to (1)

\frac{1}{\lambda_1} + \frac{1}{\lambda_2}

(2)

\frac{1}{\lambda_1} - \frac{1}{\lambda_2}

(3)

-\lambda_1 + \lambda_2

(4)

\lambda_1 + \lambda_2