If a line is parallel to the vector 4i + 1j + 4k and passes through the point P = (3, 7,9), then the parametric equation of the line is :

Q: Question: 1. Find the vector equations, the parametric equations, symmetric equations of line 1.…

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Q: The following parametric equations x = 1 + 21, y=-3+5t, represents line L, and is parallel to a…

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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…

Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (4, –6) + t(1,…

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Q: Given the points A(2,6,0) and B(3,5,6) determine the equation of a line vector in parametrix form

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Q: O Find the parametric equation of the line through the point (-3,1,6) parallel to the vector V 2i +…

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Q: 3+z Given the points R (1, -1, -3), the vector v = and the line d: ¯x+¹=1+y= 3 2 3. Calculate the…

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Q: If a line is parallel to the vector 4i + 10j + 7k and passes through the point P = (7,7,4), then the…

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Q: b) Find parametric and vector equations for the line through (2,3,0) perpendicular to the vectors u…

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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 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: DONT USE AI 4. Consider the line I that passes through the points P(2,0,10) and Q(8,4,9). Answer…

A: Given that the  given line I  is  passes through  the points P  and .(a)  We  have  to  find the…

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

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Q: If a line is parallel to the vector 6i + 7j+ 2k and passes through the point P= (5, 1,7), then the…

A: Given that a line is parallel to the vector 6i+7j+2k and passes through the point P=5, 1, 7. We know…

Q: Solve the following vector problems and parametric equations: a) Find the vector equation and the…

A: Q. Vector eqn of line passing through Prx0,y0,z0      and parallel to x, y , z is          r = Pr +…

Q: Find vectors u and v such that the parametric equation of the line y= mx + b can be expressed as…

A: Given that  equation of the line is  y= mx + b…

Q: If a line is parallel to the vector 8i + 5j+3k and passes through the point P = (6,2, 4), then the…

A: The line which is parallel to the vector  ai + bj + ck and passes through (x1 , y1 , z1) has the…