A particle starts moving from (- 4, 2, 5) so that its initial velocity is 5 î -3 ĵ – 2k and its acceleration vector is a(t) = (2 t+3) î + (4 t – 1) ĵ +6k then after one minute, the particle will be at the point: 1) (용,-풍, 1) ,1) 2) ( 5, 3, 6 ) 6 6 3) (, -4) 4) (풍,-8,6) 17 17 5 6. 6

Q: Find the velocity and acceleration vectors of the particle whose position at time t seconds is given…

A: We have a given position vector of any particle. And we have to find velocity and acceleration…

Q: Without finding T and N, write the acceleration of the motion a(t) to the position vector r(t) =…

A:

Q: 3 Find the velocity and position vectors for the particle whose acceleration is given by a' (t) =…

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Q: 2) A particle is moving along the path given by ~c(t) = (t^4 − 4t, t^3 + t). (a) Compute the…

A:

Q: 8) Find a unit vector in the direction that f(x, y, z)=2x² +6xz²-yz³ increases most rapidly at the…

A: Given: A function fx , y , z=2x2+6xz2-yz3. To Find: Unit vector in the direction of the given…

Q: Determine the shortest distance from the point (3, 4, 5) to the line through the origin parallel to…

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Q: For this problem, enter your vectors with angle-bracket notation: , not in ijk- notation. (a) F =…

A: The solution are next step

Q: The velocity of an object is given by V(t) = ti + e'j + te'k. Find the position function of the…

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Q: bee with a velocity vector r' (t) starts out at (7, -3, 7) at t = 0 and flies around for 6 sec me t…

A: We know position vector of bee if it has a velocity vector  is We are given

Q: It is known that the acceleration vector for a particle is given by A(t) = 4j + 2tk. Determine the…

A: We need to determine vector equation of curve traced.

Q: Find a vector parametrization of the line through P = (3, -5, 7) in the direction v = (3, 0, 1)

A: Given:P=3,-5,7v=3,0,1

Q: Suppose L(5, 4) was reflected across the line y = x then translated along the vector . What is the…

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Q: Suppose that over a certain region of space the electrical potential V is given by the following…

A: Given that, Vx,y,z=4x2-3xy+xyz Find Vx,Vy,Vz:  Vx=8x-3y+yzVy=-3x+xzVz=xy Gradient of V at P(6,6,5)…

Q: Brazilian soccer star Marta has a penalty kick in the quarter-final match. She kicks the soccer ball…

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Q: Find the equation for the plane through the point Po = (2,10,7) and normal to the vector n = 9i + 2j…

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Q: (8) IF: A =1+J+ k, B 1+2)- 3k Find A-B, A.B 2Ā.3B , A.B, (Ã+B) • (Ã – B)

A: We solve this question by using vector property. Note: it's Bartleby policy there is only one…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.