I need help with this problem please, and please make it legible.

Given nonzero vectors u, v, and w, use dot product and cross product notation, as appropriate, to describe the following. Answer parts a through f. . . . . a. Describe the statement, "The vector projection of u onto v," using dot product and cross product notation. O A. proju V= - v . u u . u O B. projvu = - _ v . u n. n O C. projyu=- U .v v . v O D. proju V=- U . V b. Describe the statement, "A vector orthogonal to u and v," using dot product and cross product notation. O A. + (u - v) XV OB. + (u + v) . u O C. tu.v OD. tuxvc. Describe the statement, "A vector orthogonal to u x v and w," using dot product and cross product notation. O A. + (uxv) xw O B. + luxv/ xw O C. + (uxv) . W OD. + w. (uxv) d. Describe the statement, "The volume of parallelepiped determined by u, v, and w," using dot product and cross product notation. O A. |(u . v) xw/ O B. (v Xu) . W O c. |(uxv). w/ OD. (uxV) . We. Describe the statement, "A vector orthogonal to u x v and u x w," using dot product and cross product notation. O A. vXW O B. (uxv) x (uxw) O C. (uxv) xw OD. (uxv) . (uxw) f. Describe the statement, "A vector of length | u| in the direction of v," using dot product and cross product notation. O A. luv O B. IVIT u Jul O c. u- O D. lulv