Question 5 5 pts Find the angle O in degrees between the vectors u= and v= None of these O 127.35 O 107.35 O 87.35 Question 6 5 pts Find proju u: V=2i-2j-4k, U=12i-5k None of these ((528)/(13))i-((220)/(169))k O ((11)/3)i-((11)/3)j-((22)/3)k O ((528)/(169))i-((220)/(169))k 5 pts Question 7 Find the magnitude and direction (when defined) of uxv: u=2i-7j-3k, v=0 O None of these O 0, 2i-7j-3k O 0, (1/(V(62)))(21-7j-3k) O 0, no direction Question 8 5 pts Find the area of the triangle determined P(1, 1,1), Q(2,-8,-6), and R(4,8,3)Question 9 5 pts Find the triple scalar product (uxV). W, u=i+j+k, v=3i+7j+5k, w=8i+6j+2k None of these O 72 O -20 O -88 Question 10 5 pts Find a parametrization for the line segment beginning at P, (5,0,3) and ending at P, (0,3,0) O x=5t, y=-31+3, z=3t, Osts1 O x=-4t, y=-2t+3, z=-2t, Osts1 None of these O x=-5t+5, y=3t, z=-3t+3, Osts1 Question 13 5 pts Find the standard form of the equation of the sphere: center (2,-3,4) and diameter 5. O (x-2)2+(y+3)2+(2-4) 2=((25)/4) O ( x+2)2+ (y-3)24 (2+ 4 ) 2 = ((25) /4 ) O ( X-2)2+(y+ 3) 2+ ( 2-4 ) 2 =25 None of theseQuestion 18 5 pts Find an equation of the plane Via (2,1,0) and parallel to x+4y-3z=1 O None of these O xty-z=3 O x+4y-3z=1 O x+4y-32=6 Question 19 5 pts Find an equation of the plane Via (3,-1,1), (4,0,2),and (6,3,1) O xty+z=3 O 4x+3y+z=10 O -4x+3y+z=-14 None of these Question 20 5 pts Find the distance from the origin to the line: x=1+t,y=2-t,z=-1+2t None of these 0 2 O 3/V6 O 3/12Question 14 5 pts Use the following information to solve next problems. Given three points: P(3,4,-1), Q(-3,2,4), R(0,-1,2). Find vectors PQ, and PR O PQ=,PR= O PQ=,PR= O None of these ( PQ=,PR= Question 15 5 pts Use the following information to solve next problems. Given three points: P(3,4,-1), Q(-3,2,4), R(0,-1,2). Find the dot product PQ.PR O - 43 O 13 None of these 43 5 pts Question 16 Use the following information to solve next problems. Given three points: P(3,4,-1), Q(-3,2,4), R(0,-1,2). Find the cross product PQ*PR O 11i+13j+4k None of these 19i+3j+24k O 91+3j+26k Question 17 5 pts Given three points: P(3,4,-1), Q(-3,2,4), R(0,-1,2). Equation of the plane containing P. Q. R O 6x+2y+5z=21 None of these O 19x+3y+24z=45 O x+3y+42=-19