Three vectors A, B, and C are shown in the figure below. Find one vector (magnitude and direction) that will have the same effect as the three vectors shown in Fig. Y B = 100 N @ 150° A = 100 N@ 37 C = 80 N @ 233°

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: If a and b denote the vectors OA and OB, indicate on the same diagram the vectors OC and OD denoted…

A: As first question and second question are independent so I am solving only first question.If you…

Q: Two vectors, a and b, are unit vectors with an angle of 60 degrees between them (when tail-to-tail).…

A: We will use the dot product of vectors to find the value of m

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: Sketch the vector as a position vector and find its magnitude. v = 5i + 2j

A: given vector:-    v = i + 5j magnitude of vector    ||v|| = √(12 + 52) = √26 So,        magnitude of…

Q: Given the vectors ú and i shown below, find u + v. Submit your answer by dragging the endpoints of…

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Q: The magnitude of three vectors a, b, and c form a right triangle. Given the equation, what is the…

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Q: Consider the vectors. (5, -8), (-4,1) (a) Find the dot product of the two vectors. -28 (b) Find the…

A: Given problem:- Consider the vectors.   <5, -8>, <-4,1>   (a) Find the dot product of…

Q: 11. The angle between the vectors a and bis 60°. The magnitude of b is four times the magnitude of a…

A: It is given that the angle between the vectors a→ and b→ is 60°. The magnitude of b→ is four times…

Q: 72) whose vector equations are given b ta bet Find the coSine of the angle

A: Angle between two line is the angle between their direction cosine.

Q: Find the angle between the vectors u = - i+ 6j and v = - 5i + 2j – 4k. The angle between the vectors…

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Q: find the angle between the pair of vectors to the nearest tenth degree 7i-5j,2i-8j

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Q: Given the vector ü = (1, – 5), find the magnitude and angle in which the vector points (measured…

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Q: Show that the vectors are parallel, and determine whether they have the same direction or opposite…

A: Given that, a = 3i - 5jb =- 127i + 207j

Q: Find the angle between the vectors. Give your answer correct to the nearest degree. a = i+ 4j - 8k b…

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Q: Two vectors 2a − 3b and 3a − b are perpendicular. Find the angle, ?, (correct to the nearest degree)…

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Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = −5i + 7j, V = 6i +…

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

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Q: Find the angle between the vectors u = -i- 4j and v = - 6i - 5j + 2k. The angle between the vectors…

A: Given: u=-i-4j and v=-6i-5j+2k To find: The angle between the vectors.  Required formula:…

Q: The velocity of a ship is given by the vector -6.4i + 7.7j mph.  a) Find the speed of the ship. b)…

A: The velocity of a ship is given by vector: (a) The speed of the ship is the magnitude of the…

Q: Consider the vectors. 4i - j, -10i + 3j (a) Find the dot product of the two vectors. (b) Find the…

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Q: Find the direction angle of v for the following vector.   v=−3√3i+3j What is the direction angle of…

A: The objective is to find the direction angle of v.

Q: Referred to the origin O, the points A, B and C have position vectors given by OÅ = i + 2j + 3k, OB…

A: (i) Position vector of A, B and C are A→ = i +2j +3k  , B→ = 2i+4j +k  and C→ = 3i +5j -3kAngle…

Q: Two unit vectors magnitude of 3 O√7 07 O√2 O√6 and , make an angle of 60 degrees with each other.…

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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: Consider the vectors: a = -11î + 10j +–12k, b = 2î + -8j + -12K, c = -7î +-10j + 10k a) Find: bxc =…

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Q: Find the vector of magnitude 14 in the direction opposite that of the vector v = 4i + 5j + 5k. This…

A: we find the vector of magnitude 14 in the direction opposite that of the vector v=4i+5j+5k

Q: If the two vectors are in the following figure, find the angle (1) between them A=i+j-k B=2i-2j+2k

A: Given

Q: Find the angle between the vectors u = - 5i - 3j and v =i- 5j - 4k. The angle between the vectors is…

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Q: Two vectors have the following magnitude, A = 11.7 m and B = 10.7 m. Their vector product is:  A⨯B…

A: Given: A=11.7 m and B=10.7 m. And A×B=-1.5 m i+11.3 m k

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: Add the given vectors by components. Remember to give both the magnitude and direction of the…

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Q: Find the direction angle of v for the following vector. v = - 2/3i+2j What is the direction angle of…

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Q: find the cosine of the angle between the vectors 2i + 3j - k and        3i - 5j +2k   answer…

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Q: ind the direction angle of v for the following vector.   v=−7√3i+7j What is the direction angle of…

A: To find the direction angles

Q: A boat sails 20km N20°E and then turns and travels 12 km S30°E. Determine the angle between the…

A: N 20 E means 20 degrees from the North to the direction of East. S 30 E means 30 degrees from the…

Q: Graph the vectors i = and u =. Then graph the vector ū + i

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Q: The coloured figure below shows a semicircle centred at o. Also shown in the figure are the vectors…

A: Let the green vector be x and the radius be r.

Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: Given,  a=4i-j+8k, b=16j+8k

Q: In the triangle below, BA=u and BF=v. Express each of the following in terms of u and v. a) CD b)…

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Q: Consider the vector v with magnitude 50 and direction angle 70°. Find the horizontal component of v.…

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Q: Find the angle between the given vectors to the nearest tenth of a degree. You must show work on a…

A: Here we have to find the angle between two vectors.

Q: e) A fish tank in an avant-garde restaurant is in the shape of a parallelepiped with a rectangular…

A: In the question it is asked to solve for a.(b×c). Also the capacity of tank in liters.

Q: PART I QL.If A = 2a, + 2a, – a, and B = 3a, + 2a, – 6a, are vectors, find (only two): %3D (a) A -B…

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Q: Find a unit vector in the same direction as the given vector. a = 12i + 35j

A: We can solve the problem by definition of unit vector.

Q: Find a unit vector in the same direction as the given vector. a = 15i − 8j

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Q: A = 6.70i + 8.35j B = -2.53i + 5.55j

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