Question

If , then $\vec { a } \times \vec { b } + \vec { b } \times \vec { c } + \vec { c } \times \vec { a }$ is equal to

• A.
• B.
• C. $6 ( \vec { a } \times \vec { b } )$
• D. None

Answer 1

Answer: (A)

Answer 2

$\vec { a } + 2 \vec { b } + 3 \vec { c } = \overrightarrow { 0 }$

Ž $\vec { a } \times \vec { b } + 3 ( \vec { c } \times \vec { b } )$

= $\overline { 0 }$ i.e.

i.e.

\

$= 6 ( \vec { b } \times \vec { c } )$