questions below:

Express the vector 6 i as a product of its length and direction. . . . (Simplify your answers. Use integers or fractions for any numbers in the expression.)Given the vectors v and u, answer a. through d. below. v=12i-5k u=i+j+k 3. Find the dot product of v and u. u .v = E Find the length of v. M = E (Type an exact answer, using radicals as needed.) Find the length of u. M = E (Type an exact answer, using radicals as needed.) b. Find the cosine of the angle between v and u. cost) = D (Type an exact answer, using radicals as needed.) 6. Find the scalar component of u in the direction of v. E (Type an exact answer, using radicals as needed.) cl. Find the vector projection of u onto v. projvu = E (Type your answer in terms of i, j, and k.)