10.5) question 7 3. Two distinct lines in space can intersect, be4. Use your own words to describe what it means for two linesin space to be skew.ProblemsIn Exercises 5-14, write the vector, parametric and symmet-ric equations of the lines described.5. Passes through P = (2, -4,1), parallel to d = (9; 2,5).6. Passes through P = (6, 1,7), parallel to d = (-3, 2, 5).7. Passes through P = (2, 1, 5) and Q = (7,-2,4).8. Passes through P = (1, -2, 3) and Q = (5, 5, 5).9. Passes through P = (0, 1, 2) and orthogonal to bothd₁ = (2, -1,7) and d₂ (7, 1, 3).=10. Passes through P = (5, 1,9) and orthogonal to bothd₁ = (1, 0, 1) and d₂ = (2,0,3).or be11. Passes through the point of intersection of 1 (t) and (t)and orthogonal to both lines, where(t) = (2,1,1) + t (5, 1, -2) and₂ (t) = (-2,-1, 2) + t (3, 1, -1).12. Passes through the point of intersection of l₁(t) and ₂ (t)and orthogonal to both lines, where(x=tl₁ = { y = −2+2t andz = 1+tx=2+tl₂=y=2-t.z = 3+2t13. Passes through P = (1, 1), parallel to d = (2, 3).14. Passes through P = (-2,5), parallel to d = (0, 1).X =19. l₁=y=3z=tx = 120. l₁=y= 3.Z=-(x = 0.221. ₁ = y = 1.3Z=-4x = 0.122. l₁=y= 2.9z = 3.2In Exercises 23-26line.23. Q = (1, 1, 1),24. Q=(2, 5, 6), l25. Q = (0,3), (t)26. Q = (1, 1), e(t)In Exercises 27-28, fir27. l(t) = (1, 2, 1) + t2 (t)=(3,3,3)+t28. ₁(t) = (0, 0, 1) + t.₂ (t) = (0,0,3)+tExercises 29-31 explore-las found in Key Idea 10.5

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