The force F with a magnitude of 100ON is reserved into two components along the x and y axes. The component along the x direction is F=115.47N. If the projection of F on the x axis is 86.6N, the component of Falong the y axis F=

Q: Given vector E = 2i+3j, a unit vector in the direction of E is

A: Given data: Vector, E→=2i+3j Our question is to find the unit vector in the direction of the given…

Q: For the following vector r =3i -10j , find the direction

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Q: Two vectors are given by a = 2.07 + 5.0j and b = 3.0i + 9.0j. Find (a) a x b", (b) a. b", (c) (a* +…

A: Given:a = 2.0 i^ + 5.0 j^ ................eq(1)b = 3.0 i^ + 9.0 j^ ................eq(2)

Q: The resultant vector C of vectors A and B is 20 units long and forms an angle of 40o with B which is…

A: Given that The resultant vector C of vectors A and B is 20 units long and forms an angle of 400 with…

Q: Find the magnitude of the vector component of F = 8.09 ar+ 9.09 ag + 2.56 ao that is tangential to…

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Q: (a) For the vector, Å = 6?+ 6j-3k and B = Ti+ 4+ ak, calculate the angle between the vectors. Also…

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Q: A direction cosine is: O The cosine of the angle between a vector and a particular coordinate axis.…

A: In geometry the direction of the cosine is known as direction of cosine of a vector as the cosines…

Q: A vector, V, has a magnitude of 3.60m and points at an angle of 27.0° to the left of the y- axis.…

A: Given:           magnitude of vector v= 3.6m            angle ,                       θ=270

Q: For the vectors u=i+3j+2k and v=2i−2j+2k calculate  projvu and scalvu

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Q: A vector is given by: i = (-4.897 ) î +(-7.303) ; Determine the magnitude of the this vector.

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Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

Q: Consider two vectors.  a=19.5x+17.5y b=3.9x-4.5y    what is the angle of the vector a-b…

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Q: Find the vector sum of the following three vectors A=1.00mat0º, B=2.00m at 150ºand C=1.50mat20º.All…

A: The given data are: A=1 mθ1=0°B=2 mθ2=150°C=1.5 mθ3=20°

Q: Consider the two vectors,A = 14x + 35.5y B = 5.2x - 24.5y. What is the magnitude of 3A+B

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Q: What is the vector product of: 2i + k and i + j?

A: The first vector, The second vector,

Q: Find the magnitude of vector A = -2x + 3y + 62 and the angle it makes with the x, y, and z-axes.

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Q: (a) Write each of the following vectors in component form: A y 3 m/s x 2) 250 5m x 60º 7 m B (ii)…

A: Step 1: Step 2:

Q: Vector A is 3 units in length and points along the positive x-axis, vector B is 4 units in length…

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Q: Three vectors a, b, and 7, each have a magnitude of 41.0 m and lie in an xy plane. Their directions…

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Q: Consider the two vectors, A=17x+11.5y, B=4.5x-3.5y. What is the angle of the vector A-B, measured…

A: Vector A-B can be found out using A-B = (17-4.5)x +(11.5-(-3.5))y  A-B = (12.5)x+(15)y

Q: , find K =?.

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Q: Determine the angles made by the vector V=-491+30j with the positive x- and y-axes. Write the unit…

A: The problem is based on the concept of vectors. We have to calculate the unit vectors also. The…

Q: The angles γ1 (with the X-Axis.),γ2 (with the Y- Axis ) and γ3 (with Z- Axis) that the vector v̄ of…

A: Given  magnitude of vector (v)=50  angle with x-axis=750 angle with y-axis=600 angle with z…

Q: The angle made by the two vectors A i + 4j + 5k and B = 5i + 7j + 9k is: A 14.80 degrees 34.80…

A: Given: A→=i^+4j^+5k^B→=5i^+7j^+9k^

Q: A vector has an x-component of 2.64 and a y-component of 4.58.  The magnitude of the vector is:

A: The objective of the question is to find the magnitude of a vector given its x and y components. The…

Q: The slope of the 6,5 kN fonce F is specifbed as shown in the figure. Express F as a Vector in terms…

A: The slope of the 6.5-kN force F isspevified as shown in figure. So we have to express F as a vector…

Q: A sailboat race course consists of four legs, defined by the displacement vectors ...and B.as the…

A: According to the question three vectors are given A=3km B=5.4km and C=5.2km we need to find fourth…

Q: Given vectors a=(-4,-5) and b=(-9,-7) Find the magnitude of the resultant vector: r=5a-3b

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Q: 1.45 • Find the angle between each of these pairs of vectors: (a) Ả = -2.00î + 6.00oĵ and B = 2.00î…

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Q: Two vectors have magnitudes of 397m and 47.23m. The angle between them when they are drawn with…

A: Component of one vector along another vector is the magnitude of that vector times the cosine of the…

Q: A sailboat race course consists of four legs, defined by the displacement vectors A B C and D, as…

A: Given:-  Three displacement vectors have a magnitude as  A=2.70 km B = 5.30 km  and C = 4.40 km…

Q: wo vectors (M = 4ax - 6ay) and (N = 6ax - 2ay - 5az) , find the vector perpendicular to these…

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Q: polar angle of point

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Q: Two vectors A⃗ and B⃗ are at right angles to each other. The magnitude of A⃗ is 2.00. What should be…

A: Magnitude of vector A = 2.00Magnitude of their sum (R) =5.00Angle between the vectors = 900

Q: A force of 100N makes an angle Determine both the x-component with the x-axis and has a y-component…

A: Component of force along x axis = A Cosθ  Component of a force along y axis  = A Sinθ

Q: If a 4i+ 2j -k and b = 2i-6j-3k, then calculate a vector that is perpendicular to both a and b.

A: The cross product of two vectors gives out a vector. This resultant vector is perpendicular to both…

Q: The vector sum of four displacement vectors is 500 km, 30° W of N. Three of the four displacement…

A: FIRST WE FIND EACH VECTOR IN TERMS OF RECTANGULAR COMPONENTS

Q: Find the magnitude of the vector component of F = 8.09 ar + 9.09 ag + 2.56 ap that is tangential to…

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Q: A vector has a magnitude of 2.8 m and points in a direction that is 135° counterclockwise from the z…

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Q: What is the angle between theses two vectors A = 14i – 5j+11k and B= 3i + 7j + 10k ?

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Q: Given vector A=2i-3j and vector B = 2i -4j. If vector C = A -2*B then C equals ..

A: Given data:  vector A=2i - 3j and vector B = 2i - 4j Vector C = A - 2B Required: The vector C

Q: QUESTION 6 Two vectors have the following magnitude, A = 11.5 m and B = 7.5 m. Their vector product…

A: A vector is a physical quantity that has direction and magnitude. The cross product of two vectors…