A vector is described as "A plane with an airspeed of 450 miles per hour is flying in the direction N35°W". Express the vector in terms of i and j. If exact values are not possible, round components to the nearest tenth.

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

A: a=8i-6j

Q: Given the vector ü = (1, – 3), find the magnitude and angle in which the vector points (measured…

A: u = 1i - 3j

Q: Illustrate how you would find the unit vector having the same direction as vector (p.q.r).

A: Given vector is p,q,r. We have to illustrate the method to find the unit vector having same…

Q: The horizontal component of vector a is equal to the vertical component of vector 6. If 30° is the…

A: Components of a vector v→ :  Horizontal component is v→ cos θ Vertical component is v→ sin θ where θ…

Q: If vector a= and vector b=, find the angle between vectors a and b, rounded to the nearest degree.

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Q: The magnitude of u + v is (Round to the nearest tenth as needed.) with u. The resultant vector u +v…

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Q: A balloon floats 18.5 kilometers east and then 24.6 kilometers north. What is the angle of the…

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

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Q: What is the magnitude of a vector = (-181- 12j)m/s?

A: Given,            v = (-18i + 12j) m/s

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)

Q: Given the vector ū = (– 2, 6), find the magnitude and angle in which the vector points (measured…

A: u→=-22+62=4+36=40=210 We know the formula for θ is  θ=tan-1yx Then,…

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

A: Vector A is <6,-2,-4> Let Vector B i s <23B,-23B,13B> The distance between A  and B  are…

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

A: Solution:

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 vertical component of a vector, where the inclination  Θ of the vector from the horizontal…

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Q: Find the unit vector having the same direction as v. v=5i+-12j

A: Please refer to the image below.

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: The opposite of a vector is a vector with the ______ magnitude and __________direction. To obtain…

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

Q: Find a unit vector in the direction of the given vector. Verify that the result has a magnitude of…

A: See below

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: Which of the following vectors is equivalent to the vector with magnitude 2 units that is oriented…

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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: A child pulls a sled along level ground by exerting a force of 30 pounds on a handle that makes an…

A: Given that: The magnitude of v is 30 pounds Angle( θ ) = 45°

Q: Find the components of the vector with magnitude 5 and direction θ = 2π/3

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

A: Given vector is v→=3i-2j We have to find unit vector that has same direction as given vector.…

Q: Find a vector v parallel to u = 7i + k and with magnitude ||0|| = 4. |3D Enter your vector in terms…

A: We need to find a vector v⇀ parallel to u⇀=-7i+k with magnitude 4. Now since v and u are parallel,…

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction

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

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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: Find the unit vector in the direction opposite to v = (1, 3).

A:

Q: The vector i has length 11 and points at an angle of 15 The vector j has length 18 and points at an…

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

A: we have to find a unit vector that has the same direction as 4i-j+8k let the given vector be a→…

Q: If the the femur bz is represented by the vector , find a vector b, that is perpendicular to the…

A: We have  Initial point =(-2,5) Terminal Point =(3,8) Now, Terminal Point-Initial…

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

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

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Q: Write the vector v in terms of i and j whose magnitude Iv] and direction angle 0 are given. Ivl - 7,…

A: This question can be solved using the concept of component form of vectors.

Q: The angle between the vectors ū = i + 2j – 4k and w = 2î + 3j + 5k is obtuse.

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Q: Find a vector in the direction opposite that of v = (1, –4) with magnitude 5.

A: The vector in the opposite direction of v will be -v. Then make that vector a unit vector and then…

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

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

A: Given:  i + 2j - k

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

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Q: Find a vector v whose magnitude is 6 and whose component in tho i direction is twico the component…

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Q: If a = 3i – j +2k, b = I + 3j – 2k, determine the magnitude and direction cosine of the product…

A: Dot Product: Let u=u1i+u2j+u3k and v=v1i+v2j+v3k be two vectors. Then the dot product of u and v is…

Q: write the vector v in terms of i and j whose magnitude lvl and direction angle θ are given as lvl =…

A:

Q: v =

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Q: Find the unit vector in the same direction as v = 5i - 12j. Then verify that thevector has magnitude…

A: Unit vector in same direction vectorvector's magnitude