A pilot is heading his plane N 76°W at an airspeed of 950km/h, while wind is blowing in the direction N 10°E at 75km/h. At what speed is he traveling, änd in what direction relative to the ground? You must draw a clear vector diagram.

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

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A: Use the property of magnitudes to solve this problem.

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Q: Find the magnitude and the direction of the resultant vector. (5, 11) V w (4,-3)

A: The given vectors,v→=(5,11) and w→=(4,-3)

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Q: Use the formulas that we went over in the lecture to convert the following vector into "rectangular…

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Q: Find the magnitude & direction angle of the vector (-1,2).

A: We can solve this as follows:

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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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A: we know that opposite of a vector is a vector with same magnitude and opposite direction. to obtain…

Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: To find the component form of the vector whose magnitude and direction are given.

Q: B A

A: Given:

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A: please see the next step for solution

Q: what if it was the same vector, but 5y^2j?

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Q: The vector from the origin to point A is given as 6a, – 2a, – 4a., and the unit vector directed from…

A: The vector from the origin to point A is 6ax-2ay-4az Therefore, vector A is A→=6,-2,-4 Now, the unit…

Q: A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boat's resultant…

A: Given :

Q: the magnitude and direction of this vector.

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Q: Calculate the cosine of the angle which the vector 2i+2j-k makes with the positive x-axis

A: Given: find the cosine of the angle which the vector 2i+2j-k makes with positive x axis

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A:

Q: (3,6) The magnitude is

A: It is magnitude of vector.

Q: Find the direction of the resultant vector. (8, 10) V (7,-1) W [?]° 1>13

A: The given data is: v→=8i+10jw→=7i-j  To find the direction of the resultant vector.

Q: Find the angle between the given vectors. Round to the nearest tenth of a degree.

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Q: If (a,ß.r) is a vector of magnitude 24 and having the same direction as the vector (1,-22,-2), then…

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Q: If the wind is blowing at 12 mi/hr in the direction N40°W, express its velocity as a vector v.

A: Given the wind is blowing at v=12 mi/hr in the direction of N40°W as shown below:

Q: Find the horizontal and vertical components for a vector having a magnitude of 15 and a direction of…

A: Ans = (13.0,7.5) I have done solution in detail....go through the sulution

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Q: Find the angle between the vectors ā = and b = . [Nearest degrees]

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Q: 4. Determine the resultant of each combination of vectors. a. 25 km/h north and 81 km/h east b. 12 N…

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Q: Find the horizontal and vertical components for a vector having a magnitude of 9 and a direction of…

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Q: If v = 3i - 4j is a velocity vector, express v as a product of its magnitude (its speed) times its…

A: To Determine: If v=3i-4j is a velocity vector, express v as a product of its magnitude (its speed)…

Q: A pedestrian walks at a rate of 6 km per hour east. The wind pushes him northwest at a rate of 13 km…

A: We can find the answer as below

Q: A plane is flying with an airspeed of 140 miles per hour and heading of 155∘degrees. The wind…

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Q: A plane is flying with an airspeed of 200 mph in the direction of N 50°E and a 40 mi/hr wind is…

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Q: ) The magnitude of the vector a = 2i – 3j is

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Q: 4) Find the magnitude and direction of the vector i that has components vz -1525 and Vy -8402. %D

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A: