What is the unit-vector notation for each of the following vectors, all with magnitudes of 33.5? (a) Vector E with direction of 50.0° counterclockwise from the +x-axis. E = (b) Vector F with direction of 50.0° counterclockwise from the +y-axis. (c) Vector G with direction of 50.0° clockwise from the -y-axis. to

Q: Find a unit vector in the same direction as 8i-j+ 4K

A:

Q: The vector from the origin to point A is given as (-2, 3, 5) and the unit vector directed from the…

A: A = (-2, 3, 5)  Thus, position vector of A,  a =  -2ax + 3ay + 5az   UB  =  0.535ax + 0.802ay -…

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A:

Q: Vector A is 35 m long and makes an angle of 60° clockwise from the positive Y-axis. Vector B is 55m…

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

A: Now,

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A:

Q: Find the angle 0 between the vectors. u- (3, 2, 0), v = (-2, 3, 4) radians

A: u=3, 2, 0  &  v=-2, 3, 4 Now, u·v=3-2+23+04=0 Now the magnitudes is,…

Q: A dog searching for a bone walks 3.50 m south, then runs8.20 m at an angle 30.0° north of east, and…

A: According to the given function draw the graph of the function:

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A:

Q: On the diagram to the right, what are the components of the resultant of the three vectors shown? *…

A: We have three vectors, two of them are in horizontal direction, 6 N is -x direction and  14 N in +x…

Q: Explain why there is no vector v such that × v =.

A: We explain why there is no vector v such that  <1,2,1> × v =<3,1,5>

Q: Find the angle e between the vectors. f(x) = 2x, 9(x) = 4x2, (f, 9) = radians

A:

Q: Calculate the force (in Newtons) required to push a 50kg wagon up a 0.2 radian inclined plane. One…

A: Solution:

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

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Q: what will be the direction of -k x -i ?

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

Q: If a = 3i +j - 2k and b = 5i –j- 2k, then find %3D а. а xb b. vector resolute of vector a in…

A: We will find out the required values.

Q: Find the component form of the unit vector that makes an angle 0 = 3 2л with the positive x-axis.

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Q: Determine the angle that the vector [-1, -1] makes with the positive horizontal X-axis

A:

Q: Let b be the vector of length 35 that when drawn in standard position makes a 290° angle with the…

A: Given : length of vector b=35 ⇒b=35 Also, b makes angle 290° with positive x axis. So, b=b1i+b2j,…

Q: The vector which has length 2 and direction opposite to u?

A: We have the given vector as u=-122   We have to find a vector that has length 2 and direction…

Q: 2. Start with the vector -(2, 1) a) Rotate the vector 55° counterclockwise and sketch the resulting…

A: Topic = vector

Q: 2 nogonal to the vector

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Q: Find the unit vector that has the same direction as the vector v = 3i - 2j.

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Q: Find the angle between the vectors and .

A: Given vectors a=-2i-j+3k b=2i+j-3k

Q: 6. Find the unit vector that has the same direction as the vector v = 3i- 2j

A:

Q: A vector is described as "A plane with an airspeed of 450 miles per hour is flying in the direction…

A:

Q: A plane with an airspeed of 450 miles per hour is flying in the direction N35°W.A vector is…

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

Q: Define the points P(-4, 1), Q(3, -4), and R(2, 6).

A: Given P-4,1, Q3,-4, R2,6 To find the unit vector with the same direction as QR→

Q: Find the angles between the vectors to the nearesthundredth of a radian. u = √3i - 7j, v = √3i + j -…

A: Given:u=3i-7jv=3i+j-2kAngle:cosθ=u→.v→u→.v→

Q: Express the vectors in terms of their lengths anddirections. 2i - 3j + 6k

A: The given vector is a=2i-3j+6k. Compute the length of the vector as follows. a=22+-32+62=4+9+36=49=7…

Q: 18. A child throws a ball with a speed of 5 feet per second at an angle of 54° with the horizontal.…

A: Given Speed of a ball =5 feet per…

Q: Rounded to the nearest integer, a two-dimensional vector with length 13 forming an angle of 67.4°…

A: Given:-magnitude of the vector, v→ =13angle with the x-axis, θ=67.4°

Q: A vector is 0.888 m long and points in a 205 degree direction. Find the y-component of the vector.

A:

Q: Find a unit vector that is orthogonal to both ı̂ +ȷ̂  and ı̂ +?̂

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Q: Find the vector of length 2 making an angle of 45° with the x-axis.

A: Find the vector from the given data

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A: To find the angle between the vector -3,-1 and positive x-axis

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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: Find the vector v that has magnitude 3 and makes the angle θ=1/4π with the positive x-axis.

A: Given: |v|=3 θ=1/4π

Q: A vector is described as "A quarterback releases a football with a speed of 44 feet per second at an…

A: Given: A quarterback releases a football with a speed of 44 feet per second at an angle of 30° with…

Q: Express the vectors in terms of their lengths anddirections. i + 2j - k

A: Given:  i + 2j - k

Q: v =

A:

Q: A vector has an x-component of −26.0 units and a y-component of 45.0 units. Find the magnitude and…

A: Explanation of the solution is given below..

Q: Suppose that you are climbing a hill whose shape is given by 300). In which direction (unit vector)…

A: Given function is z=764-0.04x2-0.04y2 and  Point x,y,z=100,40,300

Q: 2 A plane is flying on a course of 060° in still air at a speed of 300 km hr-', when it passes a…

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Q: Express the vector v = 4i + 2j - k in terms of magnitude and %3D direction.

A: