Find the resultant of the force vectors in the following images. In each case, finding the Force vector in Cartesian form (x, y, and z components) is totally fine. 1. FB = 840 N 6 m Fc = 420 N 3 m 2 m 3 m - 2 m

Q: Find the angle between the vector through the origin & the point (1,1,1) and the component of Ā = 2i…

A: Given:-A vector passes through the origin & the point (1,1,1) A→=2i+2j-k and B→=i+j To Find:-The…

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

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Q: (A) Find the vector that is Normal to: A = 2i + 3j +k and such that it is lies in the plane…

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Q: Find the B-coordinate vectors of ei and e2, where and B : %3D %3D %3|

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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.

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Q: Consider the vector v = (x, 2) in R2. If you rotate the vector by 90-degrees counter-clockwise, then…

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Q: Consider the three displacement vectors A = (4î – 3j) m, B = (3î - 5j) m, and C = (-5î + 5j) m. Use…

A: The solution are next step

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Q: Find the unit vector that has the same direction as the vector v. 31

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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.

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Q: Let b = i + j − k. Find (algebraically) the unit vector in the direction opposite to b.

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Q: Express the force as a Cartesian vector Z. 45° F = 500 N 60°

A: Given that                     angle made with x -axis be  α=θ. angle made with y-axis is    β=135°…

Q: find the unit vector u having the same direction as v  v=3j

A: Recall: Formula for unit vector,                  u=v‖v‖

Q: Find a unit vector in the same direction as a= i + j.

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A: Solve by geometry method, the forces are F1 =1200 pound and F2=3100 pound. The angle between them is…

Q: Consider a 200-N weight suspended by two wires as shown in the figure. Find the magnitude and…

A: This question can be solved by the concept of resolving of vectors into horizontal and vertical…

Q: For what value of t if any, is the vector 5t, 1] parallel to the vector (4, -1) ?

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Q: Determine the magnitude of the projection of the vector force F = 100N, onto the v axis, from the…

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Q: Let a = 3i – 6j + 4k and b = 2i + j – 2k. a Find c, the vector component of a perpendicular to b. b…

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Q: Find the unit vector in the directions of v, where Ans = %3D

A: To find unit vector in the direction of v, divide it by the length of v.

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 ball is thrown eastward into the air from the origin (in the direction of the positive x-axis).…

A: We have given The initial velocity v0 = 50i+ 80k and the acceleration vector a = −4j − 32k.

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

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

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Q: Find the work performed when the given force F is applied to an object, whose resulting motion is…

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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: If a = i+ 10j + k and b = i+ 11j+ k, find a unit vector with positive first coordinate orthogonal to…

A: Vector cross product of given two vector  is orthogonal to two given vector

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

A: Solution:-

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

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

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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: 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. r= 6 sint and 0= 9t Ou, + (O ue V…

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Q: Convert the following vectors to their equivalent vectors in cylindrical and spherical coordinate…

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

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Q: Find a unit vector in the direction of v = –i – 2j.

A: THE SOLUTION IS GIVEN BELOW

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

A: Given : a=i+4j+k and b=i+8j+k.