Ответ:
cos(ab)=
∣a∣∗∣b∣
a∗b
|a|=√((-1)²+(-1)²)=√2
|b|=√(2²+0²)=2
cos(a b)= \frac{-1*2+(-1)*0}{ \sqrt{2}*2 } =- \frac{2}{2 \sqrt{2} } =- \frac{ \sqrt{2} }{2}cos(ab)=
2
∗2
−1∗2+(−1)∗0
=−
<(a b)=135°
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Answers & Comments
Ответ:
cos(ab)=
∣a∣∗∣b∣
a∗b
|a|=√((-1)²+(-1)²)=√2
|b|=√(2²+0²)=2
cos(a b)= \frac{-1*2+(-1)*0}{ \sqrt{2}*2 } =- \frac{2}{2 \sqrt{2} } =- \frac{ \sqrt{2} }{2}cos(ab)=
2
∗2
−1∗2+(−1)∗0
=−
2
2
2
=−
2
2
<(a b)=135°