Question: Find a vector equation and parametric equations in t for the line through the point and parallel to the given vector. (Po corresponds to t

 Find a vector equation and parametric equations in t for theline through the point and parallel to the given vector. (Po correspondsto t = 0.) Po = (6, -6, 3) 1, 2, -- W N r= i+ + k X = V= Z =Finda vector equation and parametric equations in t for the line throughthe point and parallel to the given vector. (Po corresponds to t= 0.) Po = (3, 2.6, 3.5) 2i + 2j - kV = i + + X = Y= Z=Find a vector equationand parametric equations in t for the line through the point andparallel to the given line. (Po corresponds to t = 0.) Po
= (0, 12, -11) x = -3 + 3t, y = 6- 4t, z = 3 + 9t V= i+ + K X= V= Z =Find a vector equation for the line segment fromP to Q. (0 s t = 1.) P = (1, -3,7), Q = (6, 3, 5) + + kFind an equation ofthe plane through the point and perpendicular to the given vector. (6,4, 2) Find an equation of the plane. The plane through thepoints (0, 8, 8), (8, 0, 8), and (8, 8, 0)Determine whetherthe planes are parallel, perpendicular, or neither. 3x + 12y - 92= 1, -9x + 18y + 21z = 0 O parallel O

Find a vector equation and parametric equations in t for the line through the point and parallel to the given vector. (Po corresponds to t = 0.) Po = (6, -6, 3) 1, 2, - - W N r= i+ + k X = V= Z =Find a vector equation and parametric equations in t for the line through the point and parallel to the given vector. (Po corresponds to t = 0.) Po = (3, 2.6, 3.5) 2i + 2j - k V = i + + X = Y= Z=Find a vector equation and parametric equations in t for the line through the point and parallel to the given line. (Po corresponds to t = 0.) Po = (0, 12, -11) x = -3 + 3t, y = 6 - 4t, z = 3 + 9t V= i+ + K X = V= Z =Find a vector equation for the line segment from P to Q. (0 s t = 1.) P = (1, -3, 7), Q = (6, 3, 5) + + kFind an equation of the plane through the point and perpendicular to the given vector. (6, 4, 2) Find an equation of the plane. The plane through the points (0, 8, 8), (8, 0, 8), and (8, 8, 0)Determine whether the planes are parallel, perpendicular, or neither. 3x + 12y - 92 = 1, -9x + 18y + 21z = 0 O parallel O perpendicular neither If neither, find the angle between them. (If the planes are parallel or perpendicular, enter PARALLEL or PERPENDICULAR, respectively.)Determine whether the planes are parallel, perpendicular, or neither. 2x + 2y + 2z = 1, 2x - 2y + 2z = 1 O parallel O perpendicular O neither If neither, find the angle between them. (Round your answer to one decimal place. If the planes are parallel or perpendicular, enter PARALLEL or PERPENDICULAR, respectively.)Find the distance from the point to the given plane. (1, -1, 4) 4x + 3y + 62 = 5Find the distance between the given parallel planes. 4x - 2y + z = 12 8x - 4y + 2z = 2 2 X

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