defence exam ITBP (Telecommunication) Head Constable Mock Test 2024 Mathematics Vector Algebra Scalar Triple Product
If \(\overrightarrow{a}.\overrightarrow{b}=1, \overrightarrow{b}.\overrightarrow{c}=2\) and \(\overrightarrow{c}.\overrightarrow{a}=3\) , then the value of [\(\overrightarrow{a} \times(\overrightarrow{b}\times\overrightarrow{c}),\overrightarrow{b} \times(\overrightarrow{c}\times\overrightarrow{a}),\overrightarrow{c} \times(\overrightarrow{b}\times\overrightarrow{a})\)] is :
1
0
2
\(-6\overrightarrow{a}.(\overrightarrow{b}\times\overrightarrow{c})\)
3
\(12\overrightarrow{c}.(\overrightarrow{a}\times\overrightarrow{b})\)
4
\(-12\overrightarrow{b}.(\overrightarrow{c}\times\overrightarrow{a})\)