A car moves 34 m east and 65 m north. Determine the angle of the car's resultant displacement vector from the positive x axis.

Q: Determine the resultant of the four forces acting the circular plate and the angle ϴ, which the…

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Q: 7. Draw a vector representing the following velocity. 50 cm/sec N30°w

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

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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: 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 magnitude of the vector

A: The given vector is 0,7We know that in a vector a,b the magnitude is a2+b2

Q: Find the angle between the vectors u = ⟨3, 1⟩, v = ⟨2, −1⟩     (a) in radians and (b) in degrees.

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Q: Record the magnitude and angle of the vector sum.

A: Concept - first find the sum of x direction components and you direction components.

Q: A dog searching for a bone walks 3.50 m south, then runs8.20 m at an angle 30.0° north of east, and…

A: According to the given function draw the graph of the function:

Q: As a result of losing a tug-of-war match, Mr. T is in the middle of a ditch. A group of people…

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

Q: The angle between two unit vectors e and f is π/6 . What is the length of e × f?

A: The angle between two unit vectors e and f is π6.

Q: Find the bearing angle of vector

A: A vector is a quantity that has both magnitude and direction. It can be also defined as the…

Q: Find the angle e between the vectors. f(x) = 2x, 9(x) = 4x2, (f, 9) = radians

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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: A man walks 95 km East the 55 km North. Calculate his resultant displacement and direction.

A: Solution :-

Q: Find the angle between vectors and

A: Given vectors are same i.e. they are parallel.

Q: Find the unit vector that has the same direction as the vector v. 31

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Q: Draw a vector representing the following velocity. 10 cm/sec N 60° W

A: Let us draw a vector representing the velocity v=10cm/sec N 60°W

Q: The angle between the vectors A = 17- 31+4 k and B= 5î -3ĵ+0 k, in term of cose is Answer:

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Q: What is the angle of vectors A=5m West and B=15m 60° North of West?

A: The vector A can be written as: a=-5i The vector B is 60 degree north of west that means it makes an…

Q: Find the angle between vectors: a = 51-4j+2k and, b= 41+3)+2√5k

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Q: Find the magnitude of the vector.

A: The given question is taken from the vector in which we have to find the magnitude of the given…

Q: Find the angle between the vectors ū = 21– 35 and V = 2i+45.

A: To Find the angle between the vectors u = 2i-3j and v = 2i +4j. Explanation:- The angle between two…

Q: what is the vector angle formula?

A: Let the two vectors as: u→=a1i^+b1j^+c1k^v→=a2i^+b2j^+c2k^

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

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Q: A ship is being pushed by a tugboat with a force of 300 pounds along the negative y-axis while…

A: Given- A ship is being pushed by a tugboat with a force of 300 pounds along the negative y-axis…

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: yA 20 lb 45° 30° 16 Ib

A: We find here resultant force vector.

Q: Find a force vector of magnitude 100 that is directed 45° south of east.

A: Given: Magnitude = 100 Direction = 45° south of east.…

Q: Find the angle between the vectors u = 3i + j, v = −2i + 4j  (a) in radians and (b) in degrees.

A: Find the angle between the vectors u = 3i + j, v = −2i + 4j  (a) in radians and (b) in degrees.

Q: What is the angle of vectors A=5m South and B=15m 60° South of West?

A: `Vector is a quantity that has magnitude as well as direction. So we need to find the angle of…

Q: A ship travels N36°E for 500 nautical miles. In component form, which vector represents this…

A: Given ship travels: North 36degree East for 500 nautical miles

Q: nd the an

A: Here we have, u→=cosπ3i+sinπ3j ........................................ (1)  v→=cos3π4i+sin3π4j…

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: Find the cross product of the unit vectors j × k and sketch your result.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: A 600 pound object hangs from two cables with angles below the horizontal of 0 25 and ø = 47…

A: We can use Lamis theorem to find the tension in the cables.

Q: F = 50 lb 45° 15 3.

A: The given force F = 50 lb The force vector make the angle from x - y plane = 45°

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

A:

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: What is the angle between the vector i + v3j and the positive direction of the x-axis?

A:

Q: The vectors a and b represent two forces acting at the same point, and 0 is the smallest positive…

A: Given,           a=7.2 lbs and b=9.7 lbs , θ=110°

Q: Find the angle between the vectors u = 3i + 2j + k, v = 2i − 3j (a) in radians and (b) in degrees.

A: Vector: u=3i+2j+k v=2i-3j u=<3,2,1> v=<2,-3,0>

Q: Find the angle between the vectors v = 4i - 3j and w = i + 2j. Round to the nearest tenth of a…

A: Given vectors,v=4i-3j  and w=i+2jwe have to find the angle between given vectors

Q: Is the vector projection of B onto A, perpendicular to B? Is the angle between projAB and the vector…

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Q: The magnitudes and directions of two forces acting at a point P are given as 30 pounds with N10°E…

A: Given that two forces acting on a point P, P1= 30 pounds with N10°E P2=80 pounds with N80°E Now,…

Q: Perpendicular vectors are also said to be __________.

A: Perpendicular vectors are also said to be __________.

Q: Use the dot product to find the angle between the position vectors A and B.

A: Given: