Find a vector perpendicular to the plane that passes through the points P, Q, and R, and find the area of the triangle PQR. P (-1, 3, 1), Q (0, 5, 2), R(4, 3, -1) A. Vector 1=, AAPQR V165 2 - u2 B. Vector 1=, AAPQR = 10.06 u2 C. Vector 1=, AAPQR = V165 2 D. Vector 1=, AAPQR = 12.00 u2 E. None OD O B O E O A OCQuestion 2 Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(2, 0, -1), Q(4, 1, 0), R(3, -1, 1), S ( 2, - 2, 2) A. V = 5u3 B. V = 3.5 u3 C. V = 9us D. V = 3us E. None OE O A O B OC ODQuestion 3 Find the volume of the parallelepiped determined by the vectors a, b, and c. a =, b=, c = A. V = 7u3 B. V = 9.5 u3 C. V = 9u3 D. V = 19 u3 E. None OD OC O B O A OEQuestion 4 Find the parametric equations for the line through the point (6, -5, 2) and parallel to the vector . A. x = 1+t, y = -5 + 3t, 2 = 2 B. x = 6+t, y = 5 + 2t, 2 = 2 C. x = 6+t, y = - 5+ 3t, Z = D. x = 6+t, y = -5+ 3t, 2 = 2 - E. None OA OD OC OE O BQuestion 5 10 pts Find a vector equation for the line through the point (6, -5, 2) and parallel to the vector . A. r = E. None OE O B OC OD O AQuestion 6 10 pt Find an equation of the plane through the point (-1, -, 3) and with normal vector i + 4j + k. A. x + 4y + z=6 B. a + 3y + z =4 C. 3x + 4y + z = 5 D. x + 4y + z =4 E. None OE O A OC O B OD