aligned & If | a |= 26 ,| b |=7 & | a b |=35 , find a b aligned

Step-by-step solution

Vector identity relates cross and dot products: | a b |^2 + ( a b )^2 = | a |^2| b |^2 Given | a | = 26 , | b | = 7 , | a b | = 35 : 35^2 + ( a b )^2 = ( 26 7)^2 1225 + ( a b )^2 = 49 26 = 1274 ( a b )^2 = 1274 - 1225 = 49 a b = 7 Choose the positive value consistent with the options: a b = 7 Final answer: 7