There are two forces on the 2 kg box in the overhead view of the figure, but only one is shown. For F = 20N, a = A) Find the second force in unit-vector notation B) Find the angle between the second force and the x- 12m/s? and 0 = 30°. axis.

Q: At what angle 8 must the 380-lb force be applied in order that the resultant R of the two forces…

A: Solution: Given that letA = 380 lbB = 930 lbR = 1070 lb let angle between A AND B = θFORMULA FOR THE…

Q: A force is specified by the vector F = (160i + 120j - 180k) N. Calculate the angles made by F with…

A: Given data The force equation is given as F=160i+120j-180k N.   Now, from the given equation Fx =…

Q: For the following position [r] and force [F], determine the angle and the magnitude of the force…

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Q: angle in degrees between the two vectors

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Q: Why angle between two vectors = tan^-1 (9/-6.00) Answer is 123.7? When i input in calculator it show…

A: Ques: Angel between two vectors tan-1(9/-6.0)

Q: Two vectors are parallel if and only if: -The angle between them is < 90° -The angle is obtuse -The…

A: To explain : the condition for two vectors being parallel

Q: What is the angle between the given vector and the positive direction of the -axis: i+sqrt(3)j

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Q: Find the angle between vectors for the following. (Enter the smallest positive angle for each in…

A: (a) The vectors are given as D→=-9i^-8j^A→=-8i^+8j^

Q: Find the scalar and cross product of two vectors using component method.

A: The scalar product is given by  A→ . B→ = A B cosθA→ . B→ = 6×4×cos30° = 20.785

Q: Two vectors are given by A = 4 î + 7j and B - -6 i + 2j. (a) Find AxB. (b) Find the angle between A…

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Q: Forces with magnitudes of u = 1800 newtons and v = 800 newtons act on a machine part at angles of…

A: Given:- u=1800 N act at angle 30o v=800 N act at angle -45o find:- The magnitude of the these force…

Q: At what angle 9 must the 380-lb force be applied in order that the resultant R of the two forces…

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Q: Two vectors are given by A = 3 î + 6j and B = -1 î + j. (a) Find A x (b) Find the angle between A…

A: Given that  A = 3i^ +6j^ B = -1i^ +j^A→ x B→ = i^j^k^360-110      = (6 x 0) -(0 x 1) i^  -(3 x 0)…

Q: Two vectors are given by (A= 3i+A, j) and (B= 2i+4j). if the angle between them is 90° , then the…

A: Here the given angle is 90°

Q: Find the angle between vector a and b if a 21 +j- k and b 3i - 6j + 2k

A: a→ = 2i^ + j^ - k^b→ = 3i^ - 6j^ + 2k^

Q: The cartesian coordinate form of two vectors are: (-2, 0, 2) and (1, 1, 1). Find the angle between…

A: Given: The cartesian coordinate of the vectors is (x1, y1, z1)=(-2, 0, 2) and (x2, y2, z2)=(1, 1,…

Q: Two forces of 100 N and 150 N are acting simultaneously at a point . What is the resultant of these…

A: Data: Let, F1=100N F2 = 150N Angle between F1 and F2, θ=45°

Q: Consider the vector whose x- and y-components are given to be 4.9151 and 1.0863, respectively. Find…

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Q: A force N has a magnitude of 99 lb, emanates from the origin and passes through the point (8, – 1,…

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Q: A force is specified by the vector F = (105i +95j-150k) N. Calculate the angles made by F with the…

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Q: Consider the vector whose x- and y-components are given to be 2.5094 and -4.1328, respectively. Find…

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Q: A 3 N was applied to a 5.7 kg block, find the normal force if the angle 0 = 8.2 degrees.

A: Analyze the below diagram. Applying Newton’s law in the vertical direction, Here, N, F, m, ay, and…

Q: Determine the unit vector in the direction of the force F k) Jse three significant figures for your…

A: given:

Q: A 7.1 N was applied to a 7.2 kg block, find the normal force if the angle 0 = 9.1 degrees.

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Q: direction parallel to the hill and the y direction perpendicular to the hill and redraw the FBD. The…

A: A child pull on sled up on a small hill

Q: vector algebra dot product of (i+j+k) and (i-j+k) is?

A: Given : Vector 1 →V1→=i^+j^+k^ Vector 2 →V2→=i^-j^+k^

Q: Find the work performed when the given force F is applied to an object, whose resultingmotion is…

A: Given:-the force is in pounds and the displacement is measured in feet.  F→=13j^d→=44i^ Find:-  the…

Q: A force is specified by the vector F = (190i + 80j - 100k) N. Calculate the angles made by F with…

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Q: Express the force of 5kN as a vector in terms of the unit vectors i, j, and k, and also the director…

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Q: Consider the two vectors given in the figure, what is their SUM in the unit vector notation?

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Q: The resultant of two vectors which have equal magnitudes is another vector of magnitude equal to…

A: The magnitude of the two vectors is the same and the magnitude of the resultant vector is also the…

Q: Find the angle between the vector (A=2i +j-2k) and the y-axis.

A: A = 2i^ + j^ - 2k^For y-axis, the vector is B = j^   A.B = 2i^ + j^ - 2k^ 0i^ + j^ + 0k^A.B = (2)…

Q: If θ = 60° and F = 450 N, determine the magnitudeof the resultant force and its direction,…

A: Given data The first force is, F = 450 N  The second force is, F1= 700 Nange made by first vector…

Q: Our vectors P and Q have the same amount.  How can we rearrange them so that the sum of them is…

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Q: What is the angle between tw vectors A = 4i + 12j + 6k and

A: GivenA→=4 i+12 j+6 kB→=24 i-8 j+6 k

Q: À = 3î + 2ĵ ve B = -î – 4ĵ 40) Calculate the angle between the vectors.

A: Given data :  A= 3i + 2j  B = -i-4j

Q: The polar coordinates of a point are 4π/3 and 5.50 m. What are its Cartesian coordinates?

A: The radius,   The angular displacement,

Q: If the magnitude of the vector product of two vectors a and b are are equal to ab, then what do we…

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Q: 20) Which of the following statements is true about the relationship between the scalar product of…

A: Given:Two vectors F→ and r→To find:relation between scalar product and product of magnitude=??

Q: Find the angle between vector a and b if a 2i +j - k and b= 3i - 6j + 2k

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Q: A vector makes a 22˚ angle with the horizontal and has a magnitude of 6. Decompose the vector and…

A: Given data: θ=22°V=6 Need to determine the given vector in the form of vector.

Q: Two vectors are given by A = 3 î + 6 j and B = -1 î + ĵ. (a) Find A x B. (h) Find the angle between…

A: GivenA→=3 i+6 jAndB→=-1 i+j

Q: Find the direction of the resultant of the three force vectors A, B, and, C shown in the figure.…

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Q: Describe how to find the angle between two vectors.

A: let we have a two vector a→ &amp; b→ which  are separated by an angle Φ   then the dot product of…

Q: Find the direction cosines of the vectors whose direction Ratios are (3, 4, 5) and ( 1, 2, -3).…

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Q: A force of 500 nt is measured with a possible error of 1 nt. Its component in adirection 60◦ away…

A: Given: Force, F=500 nt Possible error in force, dF=1 nt Force direction, θ=60° Error in angle,…

Q: 2.) Find the and are resultat inclined of the to each vectors other at having magnitudes of an angle…

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Q: If Force = (-5,4) and Displacement (-2,-3), find the angle in degrees between the two vectors.

A: Given  F=-5i+4j  Displacement D=-2i-3j   To Find  Angle between vectors θ