Convert the following vectors to their equivalent vectors in cylindrical and spherical coordinate systems; J = 7.5a, + ay

Q: Find a unit vector that is orthogonal to both u = i − 4j + k and v = 2i + 3j.

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Q: If a = i+ 3j +k and b = i+ 9j +k, find a unit vector with positive first coordinate orthogonal to…

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Q: find the given vector  Unit vector ew where w = (24, 7)

A: Given: w=24,7

Q: Find ||7e – 4f|l, assuming that e and f are unit vectors such that ||e + f|| =

A: Suppose e and f be the unit vectors such that e+f=32 First, find the dot product of the vector e…

Q: Find in terms of i and j the following vectors :

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Q: 3. Express the following vectors in Cartesian (component) form. Z a) f has magnitude 20 and…

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Q: Find the unit vector that has the same direction as the vector v = 6i.

A: For the vector ai∧+bj∧unit vector is given by ai∧+bj∧a2+b2

Q: Find the angle between the two vectors, rounded to the nearest tenth of a degree: u = i +j+k, v = 3i…

A: Given Data: Two vectors: u=i+j+k=1, 1, 1v=3i-4k=3, 0,-4 The dot product of two vectors is, u·v=1, 1,…

Q: If a = i+ 4j + k and b =i+ 8j +k, find a unit vector with positive first coordinate orthogonal to…

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Q: Find a unit vector in the same direction as the given vector. C = 15i – j

A: I have Provided this answer in step-2.

Q: Which of the following vectors are equal to j × i? i × j

A: The standard unit vectors in three dimensions, i^, j^, and k^ are length one vectors that point…

Q: Rewrite the following vectors in term of unit vectors а. ОP %3D (9, -2) b. 0Q = (7,0,8)

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Q: Find the angle between the two vectors A = i +j+k and B = 2i+j-k

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Q: Find the components and length of the following vectors: i + j

A: Given vector is i+j. To find the component and length of the vector. Solution: In two-dimensional a…

Q: Find the positive value of m that makes the angle between the vectors equal to 5 a = i +j+k b = mi –…

A: Given that, a⇀=i^+j^+k^ b⇀=mi^-k^ Then we get, a⇀·b⇀=i^+j^+k^·mi^-k^a⇀·b⇀=m+0-1=m-1 Moreover we get,…

Q: Sketch the following vectors, and find their components andlengths: i + j + k

A: The vector is i+j+k sketch the vector and find its length.

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

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Q: Which of the following vectors is equivalent to the vector with magnitude 2 units that is oriented…

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Q: For what value of t,if any, is the vector (1, 4t) parallel to the vector (4, - 1)? Not OA. t = -2…

A: If the Vectors u and v are parallel then u=kV , K is any scalar.

Q: Given the following vectors and points, transform each to spherical coordinate system. 8åx at…

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Q: Find the angles between the vectors to the nearesthundredth of a radian. u = i + √2j - √2k, v = -i +…

A: The given vectors are u=i+2j-2k,v=-i+j+k.

Q: If a = i+ 2j + k and b = i+ 5j +k, find a unit vector with positive first coordinate orthogonal to…

A: Given that     a = i+2j+k and b = i+5j+k We have to find a unit vector with positive first…

Q: Find a unit vector that has the same direction as  4i − j + 8k.

A: we have to find a unit vector that has the same direction as 4i-j+8k let the given vector be a→…

Q: Find the unit vector that has the same direction as v = 2i + 2j−k.

A: To find the unit vector for any vector v=ai+bj+ck, the formula v=a2+b2+c2 can be used. This formula…

Q: If a = i+5j + k and b = i+ 9j +k, find a unit vector with positive first coordinate orthogonal to…

A: We have to find

Q: Find the unit vector in the same direction as vv=5i-j

A: Given vector is

Q: i +j +k andi – j -k.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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

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Q: Resolve the vectors shown in the figure below into components. (Here, the vectors i = i and j= j.)…

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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: Given an acceleration vector, initial velocity (uo.vo), and initial position (Xo.Yo), find the…

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Q: ': Find all unit vectors parallel to the and perpendicular to the plane vector V = 5i -j + 2k

A: Here we find all unit vector parallel to the yz plane and perpendicular to the vectorv→=5i∧-j∧+2k∧

Q: If the vector ? has constant magnitude, then show that the vector? and vector dA/dt are…

A: To show that the vector A and the vector dA/dt are perpendicular.Consider A.A = A2cos(0) = K(a…

Q: If a = i+ 8j + k and b = i+ 13j + k, find a unit vector with positive first coordinate orthogonal to…

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Q: Find a unit vector perpendicular to i-j and to i +k and with a positive k component.

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Q: Determine the value of the parameter k so that the vectors ū= ki− 2j + 3w, v̄= −i + kj +w are…

A: The given vector are ū= ki− 2j + 3w, v̄= −i + kj +w .

Q: (b) Find a vector i that is parallel to ↑ and perpendicular to L.

A: As per your demand, we solve part b) only

Q: Find a unit vector in the plane of the vectors A = i + 2j and B = j + 2k, perpendicular to the…

A: Consider the given question,

Q: Find two unit vectors that are perpendicular to both j + 2k and i – 2j + 3k.

A: Given that a→=j+2k,  b→=i-2j+3k   We know that the cross product of two vector is perpendicular to…

Q: Find a vector v parallel to u=−7i+j−6k and with magnitude ||v||=12.

A: Given,          A vector v parallel to u=−7i+j−6k and with magnitude v=12.

Q: Given the vector A= 5ax +3ay -7az and B= 3ax +6ay-2az, find (a) a unit vector in the direction of…

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

A: Given ∬S1+x2+y2dS where S is the helicoid with ru,v=u cos v, usin v, v, 0≤u≤2, 0≤v≤2π. Since ru,v=u…

Q: Express the following vectors in Cartesian coordinates and spherical coordinates 1- A = pz sin p a,…

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

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

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Q: Express the given vector in terms of the unit vectors i, j, and k. (14, 0, 4)

A: Given,  Vector &lt; 14, 0, 4&gt;

Q: If a = i+ 3j + k and b = i+9j + k, find a unit vector with positive first coordinate orthogonal to…

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Q: Find the vectoy whose magnitude is hand which is in the divection of the vector 4i-3;+h

A: Let the vector be 4i-3j+xk

Q: Find the resultant of the force vectors in the following images. In each case, finding the Force…

A: Since you've posted multiple questions, we solve the first question for you. If you want to be…

Q: Given a vector à = 2êp + ê - 4êz, convert A into: П a. Cartesian coordinates at point (3, 2)…

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