What angle does the resultant make with each of the two forces?

Q: Show that each pair of vectors is perpendicular.     -4i -3j and 6 i - 8j

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Q: Find the angle between the diagonal of a cube and the diagonal of one of its sides.

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Q: Find the diagonals for a parallelogram whose sides are 4.0 m and 6.0 m. Plus one of the angle is…

A: Please refer the attached image for complete solution. THANK YOU.

Q: steel tank is to be positioned in an excavation. Knowing that the magnitude of P is 500 lb,…

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Q: A river is flowing at 2.4 mph when a girl rows across it.  If the girl rows at a still-water speed…

A: The velocity of water flowing in the river is 2.4 mph. The velocity with which the girl rows is her…

Q: When analyzing the vector To the sum of two vectors, the first is parallel to the vector A = 2i-i+3k…

A: There is no specific formula.Please go through the solution.

Q: Two radar stations 450 feet apart are monitoring the same boat located in between them. From the…

A: A very important application of trigonometry is height and distance problem. It is assumed to be a…

Q: The angle between two forces of 38 N and 65 N is 53°. Find the magnitude of the resultant force. ?

A: Given, A=38 NB=65 Nθ=53°

Q: Two ships leave a harbor together traveling on courses that have an angle of 129° between them. If…

A:

Q: The angle between u = 3i -j-k and v = -7i – 2j + 4k is

A: u=3i-j-k and v=-7i-2j+4k The formula for angle formed between two angle is, cosθ=a·ba·b

Q: Given displacements of 3 km [E] and another of magnitude 5 km.... Draw the vector addition two more…

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Q: If la| = v2, la + b| = v6 and la – b| = v2, find the angle between the two vectors å and b.

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Q: Two locomotives on opposite banks of canal pull a vessel moving parallel to the banks by means of…

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Q: A force of 18 lb is required to hold a 71​-lb crate on a hill. What angle does the hill make with…

A: Let a body of mass is m and it is placed on the hill. And the hill makes an angle with the…

Q: 120-foot guy wire is attached to the top of an antenna. The angle between the guy wire and the…

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Q: Why a counterclockwise angle is positive and a clockwise angle is negative.

A: Why a counterclockwise angle is positive and a clockwise angle is negative.

Q: Two forces of 128lb and 253lb act as a point. The resultant force is 320lb. Find the angle between…

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Q: A force of 3 Newtons and a force of 5 Newtons act concurrently to produce a resultant of 8 Newtons.…

A:

Q: A quantity that has both magnitude and direction is called a/an_________ .

A: A quantity that has both magnitude and direction is called  vectors.  Geometrically, we can…

Q: What angle does the ladder make with the ground if a 15-foot ladder is leaned against a house and…

A: Explanation: Given that,  ladder = 15 feet distance between the base of ladder and house = 4 feet…

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

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Q: find the angle formed by the two cables.

A: Given lengths - a = 120 feetb = 204 feetc = 235 feetLet the angle between the two cables be θ.Then…

Q: Two people are standing 500 feet apart on opposite sides of a building. One determines that the…

A: Given:- Two people are standing 500 feet apart on opposite sides of a building. One determines that…

Q: 35-foot tall pole is leading towards a building. To stop the pole from leaning further, a 48-foot…

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Q: Show that the pair of vectors is perpendicular. -2i - 5j and 10i – 4j To show that -2i – 5j and 10i…

A: Given,            To show that -2i -5j and 10i - 4j are perpendicular.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: Find the angle between in the two planes a = (1,2,3)and b =(4,-5,6)

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Q: Two airplanes leave an airport, and the angle between their flight paths is 49°. An hour later, one…

A: Law of cosines

Q: Find the angle in degrees between u = (1, 2, 0) and v = (1, -2, 1)

A: Given, u=1,2,0v=1,-2,1 The formula for finding the angle between the two vector is, cosθ=u→·v→u→v→

Q: Two vectors ñ and m are said to be parallel if n-m-0

A: False

Q: Find the angle between in the two planes a = (1,2,3) and b =(4,-5,6)

A: Let's find angle between two plane.

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: The angle between two forces of 38 N and 65 N is 53°. Find the magnitude of the resultant force. ? =…

A: For the given Forces  F1 = 38 N  F2 = 65N  Angle  = 53 degrees  Magnitude of the resultant force is…

Q: A tree standing vertically on a hill which is inclined at angle of 11 degrees with horizontal, cast…

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Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 77∘.

A: sin x=oppositehypotenuse

Q: A loading ramp is extended from the back of a truck to form a 30° angle with the ground. The truck…

A: the length of the ramp is xx feet angle with the ground=30°

Q: A hiker start from his parked car and walked as follows : 12km due east followed by 8km at 40 north…

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Q: An antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the…

A: I am going to solve the given problem by using some simple trigonometry to get the required result…

Q: If Superman exerts 1000 pounds of force to prevent a 5000-lb boulder from rolling down hill and…

A: Given:If Superman exerts 1000 pounds of force to prevent a 5000-lb boulder from rolling down hill…

Q: angle between A = -2ax + 2ay + az and B = ax + 3ay + 2az is

A: As the angle between two planes is equal to the angle between their normals.

Q: 2. Two forces of 70 pounds and 58 pounds act on a body creating a resultant of 47 pounds. What is…

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Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

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Q: 4. A ladder 20 ft long leans against a sloping embankment, its foot being secured 10 ft from the…

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Q: A 164-cm snowboard is leaned against a wall. The top of the snowboard reaches 155-cm high on the…

A: Apply trigonometry ratios

Q: and b are two unit vectors such that + 2b and 5 a. 4 b are perpendicular to each other, then the…

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Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=ā and OT=b),…

A: The given figure is:

Q: Two goal posts are 8 m apart. A footballer is 34 m from one post and 38 m from the other. Within…

A:

Q: 11. A baseball player running forward at 3 meters per second throws a ball with a velocity of 20…

A: According to our guidelines we are supposed to do only one question. Kindly repost other question as…

Q: Show that each pair of vectors is perpendicular.     -6i -5j and 10 i -  12 j

A: If two vectors A and B are perpendicular then its dot product A.B=0Dot product:i, j,k are the…

Q: 1 A running back and a linebacker are 9 yards apart when the running back begins running with the…

A:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.