Let `vec(a)=hat(i)+4 hat(j)+2hat(k), vec(b)=3 hat(i)-2 hat(j)+7 hat(k)` and `vec(c)=2hat(i)-hat(j)+4hat(k)`. Find a vector `vec(p)` which is perpendicular to both `vec(a)` and `vec(b)` and `vec(p). vec(c)=18`.

Let vec(a) = hat(i) + 4hat(j) + 2hat(k), vec(b) = 3hat(i) - 2hat(j) + 7hat(k) and vec(c )= 2hat(i) - hat(j) + 4hat(k) . Find a vector vec(p) which is perpendicular to both vec(a) and vec(b) and vec(p).vec(c ) = 18 .

Let vec a=hat i+4hat j+2hat k,vec b=3hat i-2hat j+7hat k and vec c=2hat i-hat j+4hat k. Find a vector vec p, which is perpendicular to both vec a and vec b and vec p*vec c=18

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) and vec(b) then x equals

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

If vec(a) = hat(i) + hat(j) + 2 hat(k) , vec(b) = 2 hat(j) + hat(k) and vec (c) = hat(i) + hat(j) + hat(k) . Find a unit vector perpendicular to the plane containing vec(a), vec(b), vec(c)

If vec(a)=hat(i)+hat(j)+hat(k), vec(b)=2hat(i)-hat(j)+3hat(k) " and " vec(c)=hat(i)-2hat(j)+hat(k) find a unit vector in a direction parallel to vector (2vec(a)-vec(b)+3vec(c)) .

If vec(a)=(2hat(i)-hat(j)+hat(k)), vec(b)=(hat(i)-3hat(j)-5hat(k)) and vec(c)=(3hat(i)-4hat(j)-hat(k)) , find [vec(a)vec(b)vec(c)] and interpret the result.