Manipal MET2021MathematicsVector Algebra
[ a + b b + c c + a ] is equal to
Options
- A[ a b c ]
- B( a b ) c
- C2[ a b c ]
- D| a || b || c |
Correct answer
C. 2[ a b c ]
Step-by-step solution
aligned & [ a + b b =+ a & =( a + b ) [( b + c ) ( c + a )] & =( a + b ) [( b c + b a +0+ c a )] aligned aligned & =[ a b c ]+0+0+0+0+[ b c a ] & =[ a b c ]+[ a b c ] & =2[ a b c ] aligned