Level:
Project ID:
9000108704
Accepted:
1
Clonable:
0
Easy:
0
Consider a pair of vectors \(\vec{u} = (1,0,-1)\)
and \(\vec{v} = (2,-1,1)\). Find all the
vectors \(\vec{w}\) which are
perpendicular to both \(\vec{u}\)
and \(\vec{v}\) and
satisfy \(\left |\vec{w}\right | = 2\).
\(\vec{w} = \left (\frac{2\sqrt{11}}
{11} , \frac{6\sqrt{11}}
{11} , \frac{2\sqrt{11}}
{11} \right )\),
\(\vec{w} = \left (-\frac{2\sqrt{11}}
{11} ,-\frac{6\sqrt{11}}
{11} ,-\frac{2\sqrt{11}}
{11} \right )\)
\(\vec{w} = (-1,-3,-1)\),
\(\vec{w} = (1,3,1)\)
\(\vec{w} = \left (-\frac{1}
{2},-\frac{3}
{2},-\frac{1}
{2}\right )\),
\(\vec{w} = \left (\frac{1}
{2}, \frac{3}
{2}, \frac{1}
{2}\right )\)
\(\vec{w} = \left (\frac{2\sqrt{2}}
{3} , \frac{3\sqrt{2}}
{2} , \frac{2\sqrt{2}}
{3} \right )\),
\(\vec{w} = \left (-\frac{2\sqrt{2}}
{3} ,-\frac{3\sqrt{2}}
{2} ,-\frac{2\sqrt{2}}
{3} \right )\)