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

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: Express the vector == 7= Z+ y. -22] 10 as a linear combination of = -(-3) and y=

A: Consider the vector v→=-2210. To express it as linear combination of vectors x→=-4-5 and y→=1-5.…

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

A: Firstly we hae to apply translation then reflection and then find the new point.

Q: Find the new equation of the line y=x after applying the translation by the vector (2, -1)

A: New line will be shifted to 2 units right and 1 unit down.   Point on x axis (2,0) Point on y axis…

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: 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: PLease don't provide handwritten solution.

A: Step 1: Given that, u=[3,4,−5]v=[0,−6,4] To find w=2u−3v ,we first need to compute the scalar…

Q: 1. Given three points A(1,-2), B(2,-1), and C(0,3). Determine: a. Equation of the line through A and…

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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: M] - [8] x+y -3x+y.

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Q: Hw.L showthat Vi=3inbj andVz 2-i-zj have opfosite directions.

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Q: Which of the following is a direction vector for the line through A (3, –2) and B(1, 2)? Select one:…

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Q: et L₁ be the line passing through the points Q₁(-5, 2,-5) and Q₂(-14, -7, 1) and let L₂ be the line…

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Q: 3. (7-9) A vector has an initial point at (1, –1) and an endpoint at (8, 6). Write the vector in…

A: The given start and endpoints of vector are (1,-1) and (8,6) We know that the magnitude of a vector…

Q: Express the equation of the line that passes through the point p (2,6, -7) and v (3, -4,1) the…

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Q: 1. Determine whether the points A(3,4,-1) and B(1,-1,0) lie on the line with vector equation…

A: Given vector equation :