aj Jai aj lai ow consider the circle in a general position where the base vectors i & j are replaced with new vectors & j, to obtain a general vector function for a circle ř(t)=c +acos(t)i, +a sin(t) j, for 0

Q: Find a general solution to the differential equation using the method of variation of parameters. -…

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Q: Given the points M[0.1, -0.2, -0. 1), N(-0.2, 0.1, 0.3), and P(0.4, 0, 0.1), find: (a) the vector…

A: This question can be solved using the concept of finding the vector joining two points and dot…

Q: Find a vector G with curlG = sin xk.

A: Let F → = d1i+d2j+d3kThen curve F → =∇xF → =ijkddxddyddzf1f2f3Let us consider G→ = g1i+g2j+g3kThen…

Q: Describe the curve represented by the vector-valued function r (t) = (2 cos t) i +tj + (2sin t) k…

A: Given: r→(t) =2costi→+tj→+2sintk→. x=2costy=tz=2sint Then, x2=costz2=sint

Q: Let I be the line with parametric equations x = -9-2t y=-10+3t z=4+t Find the vector equation for a…

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Q: what is the parametric and symmetric eqvotions of the line that passes thrs point (4.-3,57 to beth…

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Q: Determine vector and parametric equations for the line in R that passes through the points A(1,0, 1,…

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Q: 3. (a) ) The points A(5, -10) and B(-7,6) are the ends of a diameter of circle C, Determine the…

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Q: Describe all points Q = (a, b, c) such that the line through Q with direction vector v intersects…

A: Given: To Find: All points Q = (a, b, c) such that the line through Q with direction vector v…

Q: Question 9 Let I be the line with parametric equations x=3-3t y = 5+3t z=-6-2t Find the vector…

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Q: Graph the curve with parametric equations x = sin(t), y = 2 sin(2t), z = sin(3t). And Find the…

A: The parametric equation of the curve is: x=sint, y=2sin2t, z=sin3t. To Do:We have to graph the given…

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

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Q: Laplace equation will be а. Нурerbolic b. Elliptic c. Parabolic d. Circular

A: Since Laplace equation is  Uxx + Uyy = 0.

Q: (c) Use vector methods to find the point P on the circle (x - 5)² + (y-4)² = 4 which is closest to…

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Q: Find parametric equations for the line through p (2,3,0) and perpen-dicular to the vectors u =(1,…

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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: Find parametric equations for the line through (-4,1,1) parallel to the x-axis. Let z = 1. y-z=…

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Q: If a vector equation r(t)= have and the para metric equations are %3D Does this describe the same…

A: Vector equation is r⇀t=3+t, 5-2t,1-4t.

Q: If a circle passes through the point (0, 0), (a, 0) and (0, b), then find its center. Prove that for…

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Q: A line passes through the point (- 3,2,1), and is parallel to the vector 6i + 6j + 6k. Find the…

A: We will find out the required solution.