The of a moving Position Vector 3/2 point in space is given by 212 t RCE) =t cost i + tsint J + Esint j + %3D Find: H1 M.

Q: 7. Draw a vector representing the following velocity. 50 cm/sec N30°w

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Q: Find the angle mesure between the two vectors u and v where : u=-2i + 2j + 4k, v=3i + 8j + 2k write…

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Q: Find a vector normal to the plane with the given equation.9x − 4y − 11z = 2

A: Our Aim is to find a vector normal to the plane with the equation given below:-9x-4y-11x=2 -(i)

Q: H=pz Csup ap te'sin dg tpan 2 At point (1, ,6)

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Q: Find the y-component of this vector: 12.0 m 73.3° Remember, angles are measured from the +x axis.…

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Q: The wind is blowing at 20 miles per hour in the direction N30°W. Express its velocity as a vector v…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Find the velocity vector for the position vector 7 (t) = (sin(7t), 6t°, e¯24).

A: Given,           The position vector is r→t=<sin7t,6t9,e-2t>.

Q: The jet stream is blowing at 60 miles per hour in the direction N45°E. Express its velocity as a…

A: The jet stream is blowing at 60 miles per hour in the direction N45°E We need to express its…

Q: Find the unit Vector e(subv) where v=(2,2,1)ev=?I appreciate the help in advance

A: Formula used:Unit vector in direction v is

Q: find the acute angle between the given linesby using vectors parallel to the lines. y = x, y = 2x +…

A: Here the acute angle between two lines is to be calculated.

Q: Find the positive value for which the vector r(t) (2t, 9t?, 10t2 – 2) is perpendicular to r'(t). -

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Q: Find the velocity and acceleration vectors for the motion described by x = 6 + 4f², y= 6 + 4t², z =…

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Q: The curve with vector equation r(t) = t'i + 2tj+ 3tk is %3D a line.

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Q: Find the length of the curve with the given vector equation. r(t) = 2t 4 1 + 11t j+ 10t 4 k, -1 sts…

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Q: find the given vector  Vector of length 2 in the direction opposite to v = i − j

A: A vector oppositely directed to v=i-j is is u=-v=-i-j=-i+j                   u=-i+j A unit vector eu…

Q: Find the resultant R (give both magnitude and direction) of the following displacement vectors by:…

A: Given displacements are                                           R1=2m at 30° North of EastR2=5m at…

Q: Find the vector that makes equal acute angles with the positive coordinate axes and has length 2. O…

A: An acute angle is an angle that measure is less than a right angle (90 degrees). The magnitude of a…

Q: Given the vector u 2i + 1j, find the - magnitude and angle in which the vector points (measured…

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Q: Find the vector equation for the line of intersection of the planes 32 + 2y :0 ánd 3* + ,0 ) +t(6, r…

A: To find the equation of line intersection of given planes.

Q: The angle between the negative y-axis and the line x=3+4t , y=5+mt , z=6– mt is where m=0.3 إجابتك 3…

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Q: Find a vector normal to the plane with the given equation. 2x + 8y + 9z = 3 n =

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Q: 3. if the position function vector r = ti +6tj , find the direction of the vector at time 1 sec جد…

A: The position function vector is,  r=t3i + 6tj To determine the direction of the vector at time t = 1…

Q: Determine a unit vector in the direction in whichf(x,y) = 4x³ y² increases most rapidly at point…

A: Given that : - f(x,y)=4x3y2    at  P(-1,1) A function f(x,y) increases most rapidly at pointy P(a,b)…

Q: Find the x-component of this vector: 47.3 m 39.4° Remember, angles are measured from the +x axis.…

A: To find:- x and y components of given vector in figure

Q: Consider the vector v = (2, y) in R?. If you rotate the vector by 90-degrees counter-clockwise, then…

A: Given,   v=2,y   in ℝ2.

Q: A vector with a magnitude of 10 and is on a bearing of N70°E is resolved into its rectangular…

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Q: Given the vector equation R(t) = (4 – 3t?)i + (t³ – 3t)j, find the angle between N(1) and R"(1),

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Q: Find a unit vector that is orthogonal to both i+j and i+k ?

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Q: Find the velocity and acceleration vectors in terms of u, and ug. de r=7 e ao and = 3 dt V = +

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Q: find The unit Vectors tangent and normal toThe ellipse x+ 2y=6 6at The Point (2,1).

A: I am going to solve the give problem by using some simple geometry to get the reuired result.

Q: Evaluate /1+ x² + y°dS, where S is the helicoid with vector equation S r(u, v) 0 < u < 3, 0 < v <…

A: Given integral ∬S1+x2+y2dS, where S is helicoid with vector equation r^u,v=ucosv,usinv,v We have to…

Q: Use the given information to find the position and velocity vectors of the following particle. a(t)=…

A: v→(t)=∫a→(t) dt r→(t)=∫v→(t) dt

Q: Which vector has the smaller magnitude: u = 3i - j - k or v = 2(i + j + k)?

A: Our Aim is to tell which vector given below has the smaller magnitude u⇀=3i-j-k and v⇀=2i+2j+2k.

Q: B side of cube = 10 cm (A. B); (C. D); (E.G);(G.B) ? (Ex F); (A x G) dan (Cx F) ? 2. what is the…

A: From the given figure we get A→ = 10i+10k B→ =10iC→ =5j+10kD→=5i +10kE→ =10i+10jF→=10kG→=10i+10j+10k…

Q: 27-j+4k sī +2j-2k.

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Q: Given r(t) 12ti + 5cos ti + 5 sintk, find the unit binormal vector and torsi =

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Q: Find the velocity, acceleration, and speed of an object with position vector r(t) = (Vi, 4 + Vi,…

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Q: Find the velocity and acceleration vectors in terms of u, and ug. r= 6 sint and 0= 9t Ou, + (O ue V…

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Q: w, and z head to tail as needed to sketch the indicated vector. 3 w

A: NOTE: Refresh your page if you can't see any equations. . here the height of the triangle is x=4…

Q: An object is launched from ground level with an initial velocity of 50 m/s, at an angle of elevation…

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Q: Sketch the curve with the vector equation 7(t) = (t,2 – t, 2t). Indicate with an arrow the direction…

A: Solution

Q: Given the x and y components, describe the resultant vector. Round magnitude to the nearest tenth…

A: We’ll answer the first question (Q.no. 7) since the exact one wasn’t specified. Please submit a new…

Q: Þ(x, y, z) = e¬x²-y²-z²+2yz

A: First take gradient and magnitude of gradient

Q: Evaluate 1 + x2 + y?dS, where S is the helicoid with vector equation r(u, v): 0 < u < 2, 0 < v < T

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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.