Find parametric equations for the line through the point P(2, - 5, - 3) parallel to the vector 31 - 7j - 3k. ... O A. x= 3t+2 y= - 7t-5 z= - 3t -3 O B. x= - 3t-2 y = 7t+5 z= - 3t +3 OC. x= - 3t +2 y= - 7t-5 z= 3t -3 O D. x= 3t- 2 y = - 7t +5 z= - 3t +3

Q: Given the point A(2,1,-3) and B(6,-1,-5) write the vector equation and the parametric equations of…

A: Once we get vector form of the equation we can easily write the parametric form of equation of line.

Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

A: Using the dot product equal to zero for perpendicular to the vectors.

Q: Give the vector equation of the line passing through P and Q. P = (5,2), Q = (3, 0) X = + t 00

A: To find the vector equation of the line passing through P and Q.P=5, 2, Q=3, 0

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Describe the graph of the equation: r = 4ti – 8j + (1 + 2t)k. [Choose the correct answer.] The…

A: It is three dimensional, so each points must have three components (x,y,z).

Q: 2. Given a line that passes through the point (-2,1,3) and is parallel to the line joining A(1,5,3)…

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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: rite the equation of the line passing through P with direction vector d in vector form and…

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Q: Write the parametric equations of the line through the point (1,2,3) parallel to the vector a =.…

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Q: P= (2,-2), Q = (4,0) ∙8-8 t X =

A: Vector equation of a line passing through two points with position vectors P(2,-2) and Q(4,0)…

Q: a = 2 ,8 ,2 ,−2 ,−4 ,−3 ,−11, −4 ,9 ,7 and b = 8,−1 . SOLVE Ax =b for x , and write x in…

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