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Q: (a) Find the equation of the plane p containing the point P (4, 3, 4) and with normal vector (2,…

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Q: Find any line equation that does not intersect the plane 2x – 5y + 3z 4. -

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Q: Find eguation of a Plane that an contains the vector: and and Z=3E

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Q: Let P be the point (-1,0, 2). Consider the plane that goes through the points A = B= (1, -3, 3), and…

A: First of all let us find out the equation of a plane passing through the points…

Q: Determine the Cartesian equation of a plane that has x-, y-, and z- intercepts 1/3, 1, and -1/2,…

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Q: Find an equation for the plane containing the three points (0, 1, -1), (1,0,1), and (2, 1, 0). Where…

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Q: Consider the line r in the space that passes through points A = (1, 3, −1) and B = (3, −1, 1).…

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Q: Find equation of Plane that an contains the vector: and 1-6 and Z=36

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Q: Find a parametric representation for the surface. the plane that passes through the point (0, -1, 5)…

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Q: 4. Determine the equation of the plane passing through the point (1,-4, 3) and parallel to the plane…

A: Let the equation of the plane passing through (1, -4, 3) is a(x-1)+b(y+4)+c(z-3)=0 ⇒ ax+by+cz =…

Q: Give a vector parametric equation for the line through the point (4, 2) that is perpendicular to the…

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Q: Consider the plane with equation x + 2y + 2z - 60. Determine the point on the plane that is closest…

A: The given plane is,Compare this equation with So here we have,

Q: A point A(-5,-3) is translated by the vector v = , and then reflected about the line y=0. the…

A: Given that: A(-5, -3) is translated by v=<8, 0>

Q: On the coordinate plane below, sketch the position vector ⟨0, 3⟩.

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Q: The vector equation of the plane containing the point (lo, Jo, normal vector is given by is the…

A: The plane containing the point (x0,y0,z0) and with normal vector  <a, b, c>  Let (x,y,z) be…

Q: Consider the line passing through the points (2, -3,4) and (5,10, -12). Describe the line by a.…

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Q: Find the general form equation of the plane through the origin and perpendicular to the vector (4,…

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Q: If (X, d_{1}) and (Y, d_{2}) are metric spaces, we define d: (X × Y ) × (X × Y ) \rightarrow R by…

A: Let X be a nonempty set with a mapping d:X×X→R is said to be a metric space if mapping d…

Q: Please give as much as detail as possible. Find the parametric equations of the line which passes…

A: Consider the given information.The given point is (2,0,-3) and vector is v=<0,-1,5>. The…

Q: If not, find a parametric equation of the line of intersection of the two planes. Find, correct to…

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Q: parametric equations representing the given curve.  Line passing through (0, 2) and (3, 1)

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Q: Find a set of parametric equations of the line with the given characteristics. (Use t for the…

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Q: 4. Determine the equation of the plane passing through the point (1, -4, 3) and parallel to the…

A: We have to find an equation of the plane passing through the point (1, -4, 3) and parallel to the…