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@Дивиант
August 2022
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Найти угол между прямыми MN и KE. если M (2;0;0); N (0;2;0); K (2;2;0); E (2;2;2)
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kirichekov
Verified answer
MN{0-2;2-0;0-0}, MN{-2;2;0}. |MN|=√((-2)²+2²+0²), |MN|=√8
KE{2-2;2-2;2-0}, KE{0;0;2}. |KE|=√(0²+0²+2²), |KE|=2
cosα=(MN*KE)/(|MN|*|KE|)
cosα=(-2*0+2*0+0*2)/(√8 *2)
cosα=0
α=90°
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Answers & Comments
Verified answer
MN{0-2;2-0;0-0}, MN{-2;2;0}. |MN|=√((-2)²+2²+0²), |MN|=√8KE{2-2;2-2;2-0}, KE{0;0;2}. |KE|=√(0²+0²+2²), |KE|=2
cosα=(MN*KE)/(|MN|*|KE|)
cosα=(-2*0+2*0+0*2)/(√8 *2)
cosα=0
α=90°