设向量a的模为3,b的模为4,a与b的夹角为三分之二派。求a+b的模及(3a-2b).(a+2b)

2025-04-13 17:57:56
推荐回答(1个)
回答1:

解;(1)
(3a-2b)*(a+2b)
=3a^2+4ab-4b^2
=3*3^2+4*3*4*cos3/4π-4*4^2
=27-24√2-64
=-37-24 √ 2
(2)
a+b
=√(a+b)^2
= √a^2+b^2+2ab
=√9+16+2*3*4*cos3/4π
=√25+12√ 2