Given A = ( 2 i ^ − 3 j ^ + k ^ ) , B = ( 3 i ^ + j ^ − 2 k ^ ) and C = ( 3 i ^ + 2 j ^ + k ^ ) . ( A + B ) ⋅ C will be

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Given A = ( 2 i ^ − 3 j ^ ​ + k ^ ) , B = ( 3 i ^ + j ^ ​ − 2 k ^ ) and C = ( 3 i ^ + 2 j ^ ​ + k ^ ) . ( A + B ) ⋅ C will be

TestHub · Accepted Answer

A + B = ( 2 i ^ − 3 j ^ ​ + k ^ ) + ( 3 i ^ + j ^ ​ − 2 k ^ ) = 5 i ^ − 2 j ^ ​ − k ^ ( A + B ) ⋅ C = ( 5 i ^ − 2 j ^ ​ − k ^ ) ⋅ ( 3 i ^ + 2 j ^ ​ + k ^ ) = ( 5 ) ( 3 ) + ( − 2 ) ( 2 ) + ( − 1 ) ( 1 ) = 15 − 4 − 1 = 10 Answer: 10

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