A plane makes intercepts and whose measurements are and on the and axes

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

Problem

A plane makes intercepts

OA, OB

and

OC

whose measurements are

a, b

and

c

on the

OX, OY

and

OZ

axes. The area of triangle

ABC

is (1)

\frac{1}{2}(ab + bc + ca)

(2)

\frac{1}{2}abc(a + b + c)

(3)

\frac{1}{2}(a^2b^2 + b^2c^2 + c^2a^2)^{1/2}

(4)

\frac{1}{2}(a + b + c)^2