Three vectors are given by
vec(a)=1.00hat(i)+(-1.00)hat(j)+(1.00)hat(k),vec(b)=-1.00hat(i)+(-2.00)hat(j)+(-4.00)hat(k)
, and
vec(c)=5.00hat(i)+(-1.00)hat(j)+(-4.70)hat(k)
. Find (a)
vec(a)*(vec(b)\times vec(c))
, (b)
vec(a)*(vec(b)+vec(c))
, (c)
x
-component, (d)
y
-component, and (e)
z
component of
vec(a)\times (vec(b)+vec(c))
respectively.