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3-1.Vectors
easy
$\hat i.\left( {\hat j \times \,\,\hat k} \right) + \;\,\hat j\,.\,\left( {\hat k \times \hat i} \right) + \hat k.\left( {\hat i \times \hat j} \right)=$
A
$0$
B
$1$
C
$2$
D
$3$
Solution
$\hat i\,.\left( {\hat j\,\, \times \hat k} \right)+ \;\,\hat j\,\,.\,\,\left( {\hat k\,\, \times \,\,\hat i} \right)\,\, + \,\,\hat k\,\,.\,\,\left( {\hat i\,\, \times \,\,\hat j} \right)\,\, = \,\,\hat i\,\,.\,\,\hat i + \;\,\hat j\,\,.\hat j + \hat k\,\,.\,\,\hat k\,\, = \,\,1\,\, + \;\,1\,\, + \;\,1\,\, = \,\,3$
Standard 11
Physics
