Question

Find the sum of the vectors .

Answer 1

The given vectors are

a → = i ^ −2 j ^ + k ^ , b → =−2 i ^ +4 j ^ +5 k ^ and c → = i ^ −6 j ^ −7 k ^ .

Sum of vectors a → , b → and c → is,

( a → + b → + c → )=( 1−2+1 ) i ^ +( −2+4−6 ) j ^ +( 1+5−7 ) k ^ =0 i ^ −4 j ^ − k ^ =−4 j ^ − k ^

Thus, the sum of vectors a → , b → and c → is −4 j ∧ − k ∧ .