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UPSC NDA 2 2016 Mathematics Solved Paper

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Question Numbers: 67-68

Direction: Consider the following for the next two (02) items that follow:

Let

{\rm{\vec a}},{\rm{\;\vec b}}

and

{\rm{\vec c}}

be three vectors such that

{\rm{\vec a}} + {\rm{\vec b}} + {\rm{\vec c}} = \vec 0

, and

\left | {{\rm{\vec a}}} \right | = 10,{\rm{\;}}\left | {{\rm{\vec b}}} \right | = 6

and

\left | {{\rm{\vec c}}} \right | = 14

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Question : 67 of 120

Marks: +1, -0

What is

{\rm{\vec a}} \cdot {\rm{\vec b}} + {\rm{\vec b}} \cdot {\rm{\vec c}} + {\rm{\vec c}} \cdot {\rm{\vec a}}

equal to?

$-332$
$-166$
0
166

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