幽幽水竹
幼苗
共回答了21个问题采纳率:90.5% 举报
a = m + 2n
= (1, 0) + 2(1/2, √3/2)
= (2, √3)
b = 2m - 3n
= 2(1, 0) - 3(1/2, √3/2)
= (1/2, -3√3/2)
cos = (a • b)/(∣a∣∣b∣)
= [2*(1/2) + √3*(-3√3/2)] / { [√(2²+√3²) ] [√( (1/2)²+(-3√3/2)² )] }
= (-7/2) / 7
= -1/2
∴a, b的夹角为120度.
1年前
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