hello I need help solving those questions please

'Oblem # 1: Let P be the point (3, 2, -6). Suppose that the point P0(4, 1, 6) is % of the way from P to Q. Find the point Q. Problem #1: Enter the point Q(a,b,c) as a,b,c Just Save Your work has been saved! (Back to Admin Pagg) Submit Problem #1 for Grading Problem #1 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: 'oblem #2: Let u, v, and w be vectors in R\". Determine which of the following statements are always true. (i) If \"u" = 4, "v\" = 5, and "H + VII = 8, then u ' v = 4. (ii) If ||u|| = 2 and "v\" = 3, then Iu - VI 3 6. (iii) The expression (V - w)u is both meaningful and dened. (A) all of them (B) none of them (C) (ii) and (iii) only (D) (i) and (iii) only (E) (iii) only (F) (ii) only (G) (i) only (H) (i) and 01) only Problem #2: Select 8 Just Save Your work has been saved! (Back to Admin Pagg) Submit Problem #2 for Grading Problem #2 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: 'oblem #3: Let u = (3, 2, 3) and a = (-3,1, 1). Find the vector component of u orthogonal to a. Enter your answer symbolically, Problem #3: as in these ME enter your answer in the form a,b,c ilem #4: Find the point on the line 3x y 2 = 0 that is closest to the point (2, 5). Problem #4: Enter your answer symbolically, as in these examples enter your answer in the form a,b Just Save Your work has been saved! (Back to Admin Page). Submit Problem #4 for Grading Problem #4 Attempt #1 Your Answer: Your Mark: Attempt #2 Attempt #3 "em #5: Find the parametric equations of the line in R3 that passes through the points (-2, 1 , 4) and (3, 3, 7). Problem #5: (A)J'=-1-t (BH 2 (c)x=-2-t (D)x=1t (E)x=2-t 1+4t y=-1+4t y=1+St y=1+3t z=4+4t z=4+3t z=3+3t z=4+3t z=4+4t (G)x=1t (H)x=2t y=1+4t y=1+4t z=4+4t z=4+3t Select Just Save Your work has been saved! (Back to Admin Page). Submit Problem #5 for Grading Problem #5 Your Answer: Your Mark: Attempt # 1 Attempt #2 Attempt #3 "em #6: Find the area of the triangle with vertices (5, 2, 4), (4, 4, 1), and (2, -5, 3). Problem #6: Enter your answer symbolically, as in these examples (F)x = 2t y = 0+4t z = 4+3t