An airplane is flying due east at 300 miles per hour. Simultaneously there is a 30 mph crosswind blowing at N25degreesW. a) Write vectors for the velocity of the plane A and the velocity of the wind W. Write vector components to the nearest tenth. b) add the vectors together to obtain Tyne velocity vector of the plane with respect to the ground.

Q: Show that the vectors i - j, j - k, k - i are parallel to a plane.

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Q: Define the term Parallel Vectors?

A: Parallel vectors: The vectors that are parallel if they have the same direction.

Q: An airplane is on a heading of 235° at 600 km/h and a l10 km/h wind is blowing from due west.…

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Q: In a standard coordinate system, the unit vectors in the three main directions are orthogonal to…

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Q: Write a vector of magnitude 5, parallel to the plane 3x + 4y + 5z = 10 and perpendicular to the…

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Q: Determine the two unit vectors that are orthogonal to v = (1,2). Which two unit vectors are parallel…

A: Let the required unit vector orthogonal to v be <x,y>

Q: 3. A pilot flies with a ground velocity of 280 km/h on a bearing of 292°. There is a 55 km/h wind…

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Q: Find the area of the parallelogram determined by the vectors u and v.

A: Given any non-zero vectors.

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 the given vector  Vector v of length 2 making an angle of 30◦ with the x-axis

A: To find: the vector v of length 2 making an angle of 30◦ with the x-axis

Q: Determine the two unit vectors that are orthogonal to i = (1,2). Which two unit vectors are parallel…

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Q: I\ Find the unit vector that has the same direction as vector v = -4i - 3j + 6k ? %3D

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Q: When two nonzero vectors w are called perpendicular or orthogonal?

A: Let two nonzero vectors are u and v Then the scalar product of the two vectors is given as,…

Q: Find a non-zero vector perpendicular to the vectors and ú =

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Q: Find the resultant using (a) the parallelogram method, and (b) by summing up components. For the…

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Q: Find the angle between the diagonals of a parallelogram constructed on the vectors a=2 i +j and b=-2…

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

A: Unit vector means the vector whose magnitude is equal to one. So to find the unit vector in the…

Q: Show steps clearly.

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Q: Find the vector v of length 6 that has the same direction as the unit vector (1/2, V3/2).

A: Consider the following values: magnitude=6unit vector=12i^+32j^

Q: Show that if u+ v and u - v are orthogonal, then the two vectors must have the same length. What…

A: Hence the two vector u and v have same length.

Q: If a 350-lb load is suspended by two chains as shown in the figure to the right. What is the…

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Q: A forklift is used to offload freight from a delivery truck. Together, the forklift and its contents…

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Q: Which two vectors are perpendicular to both a and b?

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Q: The vector having (magnitude) only is called unit vector FO

A: GivenStatement:The vector having only magnitude is called unit vectorTo determineGiven statement is…

Q: A small plane is flying horizontally due east in calm air at 150 mi/hr when it is hit by a…

A: Let's find.

Q: Find the magnitude of the horizontal and vertical vector componentsfor a vector.

A: By taking the the vector to be analyzed as the hypotenuse, the horizontal and vertical component can…

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

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Q: The head of the vector v is pointed at (7,-2) denote it by A and the tail of the vector v is located…

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Q: Find the volurne of the parallelepiped determined by the vectors a, b, and c. a = (6, 3, -2), b =…

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

A: Given- Bird's flying rate in the south=45miles/hrBird pushed by wind in the east=12 miles/hrWe need…

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: Express the vectors in terms of their lengths anddirections. √2i + √2j

A: If a vector is defined as: v→=ai+bj Then, the length or magnitude of the vector is: |v→|=a2+b2 The…

Q: Which two vectors are perpendicular to both å and b?

A: result of vector cross product of two vector is perpendicular to both the vectors.

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

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Q: compute the dot products i ⋅ j, i ⋅ k, and j ⋅ k for the unit coordinate vectors. What do you…

A: Given: Compute the dot products i ⋅ j, i ⋅ k, and j ⋅ k for the unit coordinate vectors.

Q: Let u and v be vectors. If their dot product is zero what is the angle between u and v (in degrees)?

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Q: Determine two unit vectors, vand wl, perpendicular to the plane passing through the z-axis and point…

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Q: Find unit vectors Parallel to the YZ Plaane and PerPendicular to the Vector V = 51-j+2k ?

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Q: Find two unit vectors that are perpendicular to both j + 5k and i − 4j + 3k. (Enter your…

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Q: Find a unit vector u that had the same directions as the vector v= (-3,3,-2)

A: Use the basic property of unit vector

Q: A small plane is flying horizontally due east in calm air at 175 mi/hr when it is hit by a…

A: Plane is flying horizontally du east calm air at 175 mi/ hr. Hence, Vplane=175i Now, horizontal…

Q: v =

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Q: Determine the angle, to the nearest degree, between the vectors = (5,3), b= (-1,–2)

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Q: Perpendicular vectors are also said to be __________.

A: Perpendicular vectors are also said to be __________.

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…

A: Given that: Speed of plane = 300 km hr-1 Direction = Course of 60o

Q: Express in Cartesian components: (a) the vector at A(4, 40°, -2) that extends to B(5, -110°,2); (b)…

A: express in cartesian components (a) the vector at A4,40°, -2 that extends to B5,-110° , 2 (b) a unit…