Solve the following problem using analytical techniques: Suppose you walk 18.5 m straight west and then 26.5 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem asks you to find their sum R = A + B. Give the direction in degrees north of west.) A +B = R B E A magnitude direction • north of west

Q: 1. Suppose a body has a force of 3 pounds acting on it from the west, 4 pounds acting on it from the…

A: Using vector addition  we determine the force

Q: Solve the resultant of the following vectors: 20.0 m at 30.0°, 40.0 m at 120.0°, 25.0 m due West,…

A: Given: AB→ = 20.0m at 30.0°BC→ = 40.0m at 120.0°CD→ = 25.0m at 180.0°  Due WestDE→ = 12.0m at 315.0°…

Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a = ‹√3, 1› b = ‹0,…

A: Please see the explanation below

Q: The problem below refers to a vector V with magnitude |V| that forms an angle θ with the positive…

A: Given      v=373 , θ=19°20 'Find VX , VY.

Q: In Problem ,use the vectors in the figure at the right to graph each of the following vectors. 3v +…

A: u=5,3-3,4=2,-1v=6,1-1,1=5,0w=3,9-1,4=2,5

Q: A new high-speed helicopter is travelling at an air speed (that is, a speed relative to the…

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Q: Find cos(0) if 0 is the angle between the vectors u= 2i + 2j – k and v = 3i + 4k

A: Consider the two vectors. u=2i+2j-k and v=3i+4k It is given that θ is the angle between the vectors.…

Q: Find the direction angle of the vector v=-8i– 5j. That is, find the angle between 0° and 360° that v…

A: We know that the direction angle of the vector  xi+yj that makes with the positive x-axis measured…

Q: When the angle between vectors u and v is between 0° and 90°: || You can't tell O t • 0

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Q: Find the direction angle of the vector v = -8i-4j. That is, find the angle between 0° and 360° that…

A: Topic = vector  Angle is 207 degrees

Q: In Problem ,use the vectors in the figure at the right to graph each of the following vectors. u - v

A: Given :                     graph the vector :  u - v

Q: Suppose the vector t has magnitude 31 and makes an angle of 233° with the positive x-axis (measured…

A: We will find out the required value.

Q: Given 2 non-zero vectors ū and v, calculate (4ü +3v)•(2ũ – v) and express the final answer in terms…

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Q: Suppose that |u| = 10 and |v| = 7, and that u • v = -55. Find the angle θ between the vectors u and…

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Q: Find cos(0) if 0 is the angle between the vectors u = 4i – 3k and v = 2i – 2j + k

A: Given,           u=4i+3k           v=2i-2j+k

Q: 1. Give the vector equation of a line perpendicular to the line L: x= 21-1, y=-31, 1 e R. Are there…

A: Given line: l:x=2t-1, y=-3t, t∈ℝ To find the other line The vector equation of the line is…

Q: ve the following: 1. Find the magnitude and direction of the given vector from D(-5, -4) to E(8, -2)

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Q: V with magnitude |V| that forms an angle θ with the positive x-axis. In this case, give the…

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Q: Find the direction angle of the vector w = 4i-5j. That is, find the angle between 0° and 360° that w…

A: Given query is to find the direction angle.for vector w.

Q: Find the angle in degree between the two vectors as indicated in the rectangular box of dimension…

A: *to find:- angle between the vectors u & v.

Q: Find cos(0) if 0 is the angle between the vectors u= 4i – 3k and v = 2i – 2j + k 2 14 15 15

A: First I have written a short note , just use them and find that  Answer is 1/3

Q: Suppose that you drawa point x in the middle of a page, and a curve going through X in such a way…

A: Given: Suppose that you draw a point x in the middle of a page, and a curve going through X in such…

Q: 2) A is 8.5cm long and pointed to the right (+x axis). B is 6.0cm long and pointed up and to the…

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Q: θ

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Q: In the accompanying figure, it looks as if v1 + v2 and v1 - v2 are orthogonal. Is this mere…

A: Given figure shown below.

Q: If å is a vector in the direction of S60°E, then draw its opposite vector and state the direction

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Q: a vector V with magnitude |V| that forms an angle θ with the positive x-axis. In this case, give the…

A: Vectors are geometric representations of magnitude and direction which are often represented by…

Q: latél Show that if a is perpendicular to each of the vectors and then a is perpendicular to 26 +4

A: The detail solution is given below

Q: 4. [6.1] If vector b is shown below, sketch a vector. a) Equal to b b) Opposite to b c) With the…

A: Solution of given question is written in below steps.

Q: At approximately what angle should the tails of two unit vectors a and y be placed if 2+ 7 = 1.5 60…

A: It is given that x→ and y→are two unit vectors, x→=1y→=1 Let the angle between the given two vectors…

Q: The problem below refers to a vector V with magnitude |V| that forms an angle θ with the positive…

A:

Q: Suppose the vector s has magnitude 73 and makes an angle of 114° with the positive x-axis (measured…

A: Answer

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

A: G

Q: this case, give the magnitudes of the horizontal and vertical vector components of V, namely Vx and…

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Q: The diagram below shows the velocity vectors for two cars that are moving relative to each other. 45…

A: This question can be solved using the concept of relative velocity and frame of reference.

Q: An angle in standard position lies in 2nd quadrant, and the point Q on its terminal side has radius…

A: The distance along the y-axis is called the ordinate.

Q: Consider the following three vectors, described here by their lengths and angles with respect to the…

A: The diagram below represents the vectors A→,B→, and C→ on the cartesian plane  (a) Consider the…

Q: Q2/ what the sine of the angle between the vector d= 3î + ĵ + 2k , b= 2î – 2j + 4k -

A: Here given vector as a=3i+j+2k, b=2i-2j+4k Thus a=32+1+22=9+1+4=14 a=22+-22+42=4+4+16=24=26

Q: Find the direction angle of the vector v = -7i-8j. That is, find the angle between 0° and 360° that…

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Q: A ball is thrown at an angle of 60° to the ground. If the ball lands 90 meters away. What was the…

A: The ball is thrown at an angle of  to the ground. So, the initial velocity of ball has both…

Q: b. Repeat the above solution if the two vectors A and B given at a point P(r, 0, D) in space reduced…

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Q: Using a convenient scale, find the resultant of the following vectors graphically: 10m at 40o with…

A: According to Polygon Law of forces, if a number of coplanar forces acing at a point is represented…

Q: 2. Find the angle between the following two vectors. and

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Q: First, find the vector in C(A) closest to the vector on the right hand side of the equation 10 7 911…

A: The given system AX=B has no solution then the least square solution is given by solving…

Q: Which is traveling faster, a car whose velocity vector is 27i⃗ +32j⃗ , or a car whose velocity…

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Q: Ex.2. Show that the Serret-Frenet formulae can be written in the form dt = W X t, ds dn = W X n, ds…

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Q: b. Construct a particular solution by assuming the form (1) de+6+ and solving for the undetermined…

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