6. Consider the vector with magnitude 6, shown in the diagram. Write the vector in the form (a, b), where a and b are to four decimal places. -141°

Q: Consider the vector v with magnitude 90 and direction angle 50°. Find the horizontal component of v.…

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Q: Find the direction angle of v for the following vector. v = - 3i - 6j What is the direction angle of…

A: We have to find the direction angle of the given vector.

Q: 4. Consider the vector with magnitude 3, as shown in the diagram. Write the vector in the form (a,…

A: we are given the magnitude of vector =3. and its direction=145 degree.

Q: Find a vector that has the opposite direction of a = 8i - 6j and twice the magnitude.

A: a=8i-6j

Q: 3. Consider the vector v with magnitude 20 and direction angle 70°. Find the horizontal component of…

A: It is known that the horizontal component of a vector with magnitude v and direction θ  is given by…

Q: Consider the vector with magnitude 7, as shown in the diagram. Write the vector in the form (a, b) ,…

A:

Q: А D. В

A: In the given image,  For first vector, direction is pointed towards point B, through A. So, this…

Q: (d) A unit vector perpendicular to both Q and P (e) Find the component of (P+Q) along (P-Q)

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Q: ector V has a horizontal vector component with magnitude 18 and a vertical vector component with…

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Q: Find the vector v that has a magnitude of 10 and a direction oppo- site that of the unit vector…

A: Let u be the required vector and given vector be v=35i-45k.

Q: Find the magnitude and direction angle for the vector. Round to two decimal places. i = (-4,–27)

A: Given vector is n→=-4,-27We know that magnitude of the vector x,y is x2+y2So, the magnitude…

Q: A pedestrian walks 7.4 kilometers west and then 9.2 kilometers south. What is the angle of the…

A:

Q: find the magnitude and direction of the resultant vector r using the image below. Round your answers…

A: Using Triangle low

Q: B A

A: Given:

Q: D) Find the unit vector in the direction of u. E) Find the cosine of the angle between u and v. F)…

A: the vector u→=<3,-1,2>   d) the unit vector in the direction of u→=<3,-1,2> is given as…

Q: 3.) Find a vector with magnitude 12 in the direction of the vector w=-3i + 4j

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Q: Consider the vector with magnitude 7, as shown in the diagram. Write the vector in the form (a, b) ,…

A: To write the vector in form (a,b)

Q: 4.9. Find the vector v with magnitude ||v|| = 8 that has the same direction as vector u =

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Q: A vector has a magnitude of 8 and a reference angle of 33 degrees. Sketch the vector and determine…

A: A vector has a magnitude of 8 and a reference angle of 33 degrees. Reference angle:      The…

Q: A surveying team records the following displacement vectors on three days (24 hour days) of walking,…

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Q: 47. Describe in words the vector shown in the diagram. 150 km/h 48. Draw the vector 75 m N70°W.

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Q: Find the magnitude and direction angle of the vector w = -4i - 3j to correctly write w in…

A: we have vector  w→=-4i-3j we have to find  i) magnitude ii) direction  iii) vector w→ in…

Q: What are the indices for the directions indicated by the two vectors in the sketch below? 04…

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Q: ii. the unit vector in the direction of BC.

A: In this question we have to find the unit vector of in the direction BC

Q: Consider the vector with magnitude 8, as shown in the diagram. Write the vector in the form (a, b) ,…

A:

Q: 27 Consider the vector a = -9ị- 3j. (a) Find â. (b) Find the vector b in the direction of a with a…

A: Given vector, a→ = - 9i→-3 j→ (a) a^ (b) b→ in the direction of a→ with the magnitude 5 Needed…

Q: Determine which of the position vectors shown in the figure below has the given magnitude and…

A: From the given vectors, we have to find the vector with magnitude 2 and direction angle 120.

Q: 3. A vector with magnitude 18 is shown in the diagram. Write the vector in the form (a, b) , leaving…

A: Magnitude of vector is 18 it can be written in required form as below : (a,b)=( 18cos∅,18sin∅) ∅=60°

Q: Question 3 Find a unit vector in the direction of the given vector. 20 -10

A: 3. To Find: The unit vector in the direction of the vector -2020-10

Q: Given the vector u = ,6), find the magnitude and angle in which the vector points (measured…

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Q: 6. Consider the vector with magnitude 6, shown in the diagram. Write the vector in the form (a, b)…

A: Explanation of the solution is given below...

Q: A person swims 6.4 meters per second north while being pushed by a current moving west at 2.1 meters…

A: topic - vectors

Q: 5. Consider the vector with magnitude 5, as shown in the diagram. Write the vector in the form (a,…

A: From the above fig  Vector a = 5 cos (-36) = 4.0451

Q: A bird is flying south at a rate of 45 miles per hour while being pushed east by wind with a speed…

A: We need to find resultant vactor.

Q: What is the magnitude and direction of vector w? (answers to the nearest tenth) W |w| = %3D

A:

Q: 10. A jogger runs 200 m in a direction 30° east of north and then 100 m in a direction 35° south of…

A:

Q: A vector has magnitude 5 and has direction of 139 degrees. Rounded to the nearest hundredth, find…

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Q: 1. A navigator wishes an aircraft to fly W22°N with a groundspeed of 300km/h. There is a 60km/h wind…

A:

Q: Sketch the vector as a position vector and find its magnitude. V= - 8i - 4) Choose the correct…

A: The given vector is is: v=-8i-4j

Q: Suppose a vector has magnitude 10 and a direction angle of 240°. Find the component form of the…

A:

Q: photo attached

A: The given vector is,

Q: Consider the vector with magnitude 6, shown in the diagram. Write the vector in the form (a, b),…

A: Find the angle made by vector with negative y axis and break the vector in its components.

Q: Let a = (2, 5) and b = (5, 2). Find the angle between the vector, in degrees. Round to one decimal…

A: Solution of the problem as follows

Q: 1. Find the angle between two vectors ā and 5 with magnitudes 3 and 2, respectively having ā-5 = J6…

A: Given,            Magnitude of a→ and b→ are 3 and 2 and their dot product is a→·b→=6.To find : The…

Q: . The angle between A and B drawn tail to tail is 120°. Determine the unit vector in the

A:

Q: Sketch the vector as a position vector and find its magnitude. v = 5i + 2j Choose the correct graph…

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Q: 5. Sketch the vector as a position vector and find its magnitude. v =-6i - 4j

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Q: b) let A = 3i + 2j – k, and B = i-j+2k find the: (a) Component form (b) magnitude (length) of the…

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Q: Find the magnitude and direction of the resultant of the following vectors using Laws of Sines and…

A: Given that x=10N and Y=5N. The graph formed is, Now decompose X and Y vector along x and y…