S=3√5=| i j k |
|-1 2 -3|=i* |2 -3|-j* |-1 -3| +k* |-1 2 |=i*(8+3λ)-j(-4+9)+k(-
|3 λ 4| |λ 4| |3 4| |3 λ |
λ-6|
квадрат вектора приравняю к (3√5)^2 и найду λ
(8+3λ)^2+5^2+(λ+6)^2=45
9λ^2+48λ+64+25+λ^2+12λ+36=45
10λ^2+60λ+80=0
λ^2+6λ+8=0
D=36-32=4
λ1=(-6+2)/2=-2; λ2=(-6-2)/2=-4
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S=3√5=| i j k |
|-1 2 -3|=i* |2 -3|-j* |-1 -3| +k* |-1 2 |=i*(8+3λ)-j(-4+9)+k(-
|3 λ 4| |λ 4| |3 4| |3 λ |
λ-6|
квадрат вектора приравняю к (3√5)^2 и найду λ
(8+3λ)^2+5^2+(λ+6)^2=45
9λ^2+48λ+64+25+λ^2+12λ+36=45
10λ^2+60λ+80=0
λ^2+6λ+8=0
D=36-32=4
λ1=(-6+2)/2=-2; λ2=(-6-2)/2=-4