Find the equation for the plane through the point Po = (3,4,3) and normal to the vector n=21 + 7j + 4k.

Q: Find the distance from the point (7, -14, -21) to the plane:  2x - 3y - 6z = 1

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Q: Write the vector equation for the line of intersection between the planes π1:x−z=−5 and π2:x−y=−1.

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Q: x +1 L1: 2 у — 2 y 1 у — 2 z-1 x +1 L2: 1 y – 2 -1 2 3.

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Q: Find the linear equation of the plane through the point (2,3,6) and parallel to the plane…

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Q: The parametric vector v=(6-t)i+(9t+8)j represents a straight line. Find the equation of this line

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Q: Find the vector and parametric equations of the line through the points A = (2,4,7) and B =…

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Q: Find a vector in component form that is perpendicular to the line 3x 4y = 6.

A: To find the vector in component form that is perpendicular to the given line.

Q: Find parametric equations for the line in which the planes x + 2y + z = 1 and x - y + 2z =-8…

A: x + 2y + z = 1 and x - y + 2z =-8 are the two planes.Let z=t So, the equations become: