Część:
Project ID:
9000108704
Accepted:
1
Clonable:
0
Easy:
0
Dane są wektory \(\vec{u} = (1;0;-1)\)
i \(\vec{v} = (2;-1;1)\). Znajdź wszystkie wektory
\(\vec{w}\), które są prostopadłe
jednocześnie do wektora \(\vec{u}\)
i \(\vec{v}\) oraz
\(\left |\vec{w}\right | = 2\).
\(\vec{w} = \left (\frac{2\sqrt{11}}
{11} ; \frac{6\sqrt{11}}
{11} ; \frac{2\sqrt{11}}
{11} \right )\),
\(\vec{w} = \left (-\frac{2\sqrt{11}}
{11} ;-\frac{6\sqrt{11}}
{11} ;-\frac{2\sqrt{11}}
{11} \right )\)
\(\vec{w} = (-1;-3;-1)\),
\(\vec{w} = (1;3;1)\)
\(\vec{w} = \left (-\frac{1}
{2};-\frac{3}
{2};-\frac{1}
{2}\right )\),
\(\vec{w} = \left (\frac{1}
{2}; \frac{3}
{2}; \frac{1}
{2}\right )\)
\(\vec{w} = \left (\frac{2\sqrt{2}}
{3} ; \frac{3\sqrt{2}}
{2} ; \frac{2\sqrt{2}}
{3} \right )\),
\(\vec{w} = \left (-\frac{2\sqrt{2}}
{3} ;-\frac{3\sqrt{2}}
{2} ;-\frac{2\sqrt{2}}
{3} \right )\)