If `vec(a)=ht(i)-hat(k), vec(b)=xhat(i)+hat(j)+(1-x)hat(k)`
`vec(c)=yhat(i)+xhat(j)+(1+x-y)hat(k)`.
then `vec(a).(vec(b) xx vec (c))` depends on

If vec(a)=hat(i)-hat(k), vec(b)=xhat(i)+hat(j)+(1-x)hat(k) vec(c)=yhat(i)+xhat(j)+(1+x-y)hat(k) . then vec(a).(vec(b) xx vec (c)) depends on

If vec(a)=hat(i)-hat(k), vec(b)=xhat(i)+hat(j)+(1-x)hat(k) vec(c)=yhat(i)+xhat(j)+(1+x-y)hat(k) . then vec(a).(vec(b) xx vec (c)) depends on

If vec(a) = hat(i)- hat(k) , vec(b) = x hat(i) + hat(j) + (1-x) hat(k), vec(c ) = y hat(i) + x hat(j) + (1+ x- y)hat(k) then vec(a).(vec(b) xx vec(c )) depends on

If vec(a) = 2hat(i) - 3hat(j) + 4hat(k), vec(b) = hat(i) + 2hat(j) - 3hat(k) and vec(c ) = 3hat(i) + 4hat(j) - hat(k) , then find vec(a).(vec(b) xx vec(c )) and (vec(a) xx vec(b)).vec(c ) . Is, vec(a).(vec(b) xx vec(c )) = (vec(a) xx vec(b)).vec(c ) ?

If vec(a)=7hat(i)-2hat(j)+3hat(k), vec(b)=hat(i)-hat(j)+2hat(k), vec(c )=2hat(i)+8hat(j) , then find vec(a).(vec(b)xx vec(c )) and (vec(b)xx vec(c )).vec(a) .

If vec(a)=hat(i)+hat(j)+hat(k), vec(b)=hat(i)-hat(j)+hat(k) and vec(c)=hat(i)+hat(j)-hat(k) , then what is vec(a)xx(vec(b)+vec(c))+vec(b)xx(vec(c)+vec(a))+vec(c)xx(vec(a)+vec(b)) equal to?

If vec(a) = hat(i) + hat(j) + hat(k), vec(b) = hat(i) - hat(j) + hat(k) and vec(c )= hat(i) + hat(j) - hat(k) , then what is vec(a) xx (vec(b)+ vec(c )) + vec(b) xx (vec(c ) + vec(a)) + vec(c ) xx (vec(a) + vec(b)) is equal to ?

Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) = hat(i) - hat(j) + 2hat(k) and vec(c) = xhat(i) + (x-2)hat(j) - hat(k) . If the vector vec(c) lies in the plane of vec(a) & vec(b) , then x equals