Question Type 2: Finding the cross product using different operations of vectors Bootcamps

Let $a=(1,0,1)$, $b=(3,2,1)$, and $c=(5,6,1)$. Compute $c\times a$.

Let $a=(1,0,1)$, $b=(3,2,1)$, and $c=(5,6,1)$. Compute $a\times b$.

Let $a=(1,0,1)$, $b=(3,2,1)$, and $c=(5,6,1)$. Compute $b\times c$.

Let $a=(1,0,1)$, $b=(3,2,1)$, and $c=(5,6,1)$. Compute $(a+b)\times c$.

Let $a=(1,0,1)$, $b=(3,2,1)$, and $c=(5,6,1)$. Compute $(b-c)\times a$.

Let $a=(1,0,1)$, $b=(3,2,1)$, and $c=(5,6,1)$. Compute $a\times(b+c)$.

Let $a=(1,0,1)$, $b=(3,2,1)$, and $c=(5,6,1)$. Compute the scalar triple product $a\cdot(b\times c)$.

Let $a=(1,0,1)$, $b=(3,2,1)$, and $c=(5,6,1)$. Compute $(2a+3b)\times(b-c)$.

Let $a=(1,0,1)$, $b=(3,2,1)$, and $c=(5,6,1)$. Define $u=a+2c$ and $v=3b - a$. Compute $u\times v$.

Let $a=(1,0,1)$, $b=(3,2,1)$, and $c=(5,6,1)$. Compute $(a\times b)+(b\times c)+(c\times a).$

Let $a=(1,0,1)$, $b=(3,2,1)$, and $c=(5,6,1)$. Verify the distributive law by simplifying $(a+b)\times(b+c)$ and comparing with $a\times b + a\times c + b\times b + b\times c.$

Let $a=(1,0,1)$, $b=(3,2,1)$, and $c=(5,6,1)$. Find a unit vector perpendicular to both $(a+b)$ and $(b+c)$.