Level:
Project ID:
1003040207
Accepted:
1
Clonable:
0
Easy:
0
Given the points $A = [2,0,3]$ and $B = [-1,2,0]$, specify all the points $C$ lying on the $z$-axis, such that the area of the triangle $ABC$ is $2\sqrt2$.
Hint: Use a cross product of vectors.
$C_1=[0,0,1],\ C_2=\left[0,0,\frac{29}{13}\right]$
$C_1=[0,0,1],\ C_2=\left[0,0,-1\right]$
$C_1=[0,0,-1],\ C_2=\left[0,0,\frac{13}{29}\right]$
$C_1=[0,0,-1],\ C_2=\left[0,0,\frac{29}{13}\right]$