Find a parametric equation for the line that passes through the point P(-5,7,10), and is parallel to the vector 6i+j+ 2k.

Q: A line passes through the point (9,1, – 1), and is parallel to the vector 7i + 3j + 7k. Find the…

A: We find the direction cosine first. As we know that the line is parallel to 7i+3j+7k So the…

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Q: Find the parametric equations for the line in the x-y plane which goes through the points (2,-1) and…

A: The parametric equations for the line in the x-y plane which goes through the points (2,-1) and…

Q: Find the parametric equation of the line that passes through the point P(2,4, –2) and is parallel to…

A: Parametric equation of line that passes through the point P(x0, y0, z0)& parallel to vector a =…

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

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Q: Write parametric equations of the line L through the point P: (2, 0, -3) and parallel to the vector…

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Q: Find parametric equations for the line of slope 6 that passes through the point (7,9). (Use t as…

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Q: Consider the Point (-2,1,3) and the plane -3x2 +x2 +4x3=7. Find parametric equations of the line…

A: The direction vector of a line perpendicular to a plane is same as the normal vector of the…