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Urete, pro jakou hodnotu parametru p jsou vektory LN:<br />
<br />
<br />
<br />
1) a ( 2;3; 1),<br />
b ( 1;2;0),<br />
c (1;4; p)<br />
2 1<br />
1 1 0 p<br />
<br />
3 2 4 3 2 4 3a1<br />
<br />
<br />
1<br />
0 p <br />
2 1<br />
1 2a1<br />
1<br />
0 p 1<br />
0 p <br />
<br />
<br />
<br />
0 2 4 3p<br />
0 2 4 3p<br />
<br />
<br />
<br />
0 1<br />
1<br />
2 p <br />
<br />
2 a 1 0 0 2(1 2 p)<br />
(4 3p)<br />
<br />
1<br />
0 p <br />
<br />
6 + 7p = 0 p = –6/7<br />
0 2 4 3p<br />
<br />
<br />
<br />
0 0 6 7 p Vektory jsou LN, je-li p rzné od –6/7.<br />
<br />
<br />
<br />
2) a ( 1; 2;<br />
p),<br />
b (0;1;1), c (2; p;<br />
1)<br />
<br />
<br />
<br />
3) a ( 1; p;<br />
2),<br />
b (3; 1;2),<br />
c ( 5;<br />
p 2; 6)