|A force F = 9i + 8j – 4k is applied to a spacecraft with velocity vector v = 2i – 7j. Express F as the sum of a vector parallel to v and a vector orthogonal to v. Vector parallel to v is Vector orthogonal to i is

Q: A force F = 9i + 8j – 4k is applied to a spacecraft with velocity vector v = 2i 7j. Express as the…

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Q: Find the velocity and acceleration vectors in terms of u, and u. r= a(9 + sin t) and 0 = 3 - e ',…

A: we derivative to find velocity and acceleration

Q: Find the work done by a force F = 4i + 9j (in N) in moving an object in a straight line from point…

A: Given:           F=4i+9j

Q: Find the angle 0 between the vectors. (f. 9) = L R f(x) = 3x³, g(x) = 4x4, %3D f(x)g(x) dx radians

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Q: forces acting at a point P are given as 30 pounds with N10°E and 80 pounds with N 80° E. Approximate…

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Q: 3. Given the vector ā = (x, y,=), where x = 0, y = 2 and z = 8 . Find the vector b with magnitude of…

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Q: Q4/ For the force system shown in Fig. (1), find the forces F1 & F2 (Using Vectors) 30 45 F2 15

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

A: Given: F=22i+9jd=30i+4jForce in poundsand displacement in feet To Find: work performed when the…

Q: A force F = 2i -j- 3k is applied to an airplane with displacement vector D = i+2j + 2k. Express F as…

A: Let the force vector be F→=2i-j-3k and the displacement vector D→=i+2j+2k    F→=β1+β2   Here, β1 is…

Q: Evaluate, don't forget the constant vector, (ri - 2tj + k) dt

A: We have to evaluate the integral: ∫t2i-2tj+1tkdt We know the formula of integration,…

Q: Evaluate |/ V1+ x² + y°dS, where S is the helicoid with vector equation r(u, v) = 0 < u < 4, 0 < v…

A: Given surface integral is  ∫∫S1+x2+y2 dS where S is the helicoid with vector equation  r(u,v) =&lt;…

Q: A force F = 2i +j - 3k is applied to a spacecraft with velocity vector v = 3i - j. Express F as a…

A:

Q: A force F = 9i + 8j – 4k is applied to a spacecraft with velocity vector v = 2i –- 7j. Express F as…

A: let u→ is the orthogonal vector of v→u→ = ai→+bj→+ck→u→.v→ = 0

Q: Q4) The vector product of two vectors is scalar product. F O T

A:

Q: If a = 3i +j - 2k and b = 5i –j- 2k, then find %3D а. а xb b. vector resolute of vector a in…

A: We will find out the required values.

Q: 5) Find the unit vector in the direction of v = 2i + j+k 1 - i+-j+ d) i+j+k 1 1 j+ V5 а) V5 k b)

A: We can solve this as follows:

Q: A force F = 61 – 3j – R passes through the point B whose position vector is b = î - 4j + R.…

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Q: Let the vector 3i +j can be expressed as a sum of vectors u and v where u is parallel to the vector…

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Q: Find the work done by the force F = 3i − 9j in moving an object from the point (3, 3) to the point…

A: To find work done.

Q: Find the real values of a,b,c that make the convolutio equal to zero for the vector function F(x, y,…

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Q: Given: f(x, y) = 3x² – 2y² at (-,0) in the direction from P(-,0) to Q(0,1). . What is the unit…

A: The given problem is to find unit vector of the function in which direction from point P(-3/4,0) to…

Q: Find the component of the force 5i+7j-k in the direction of the displacement PQ, where P(3,0,1) and…

A: The given force is

Q: Q6/ A boxful has been moved a distance (2m) in a F = 5.2 i+ 3J horizontal direction due to effect of…

A: Work done by a force is equal to the product of Force applied in the direction of distance and…

Q: (b) A force of F=5i+3j-2k is applied to an object, which moves it from A =i+j+kto В - 5i —j+2k.…

A: Follow step 2.

Q: 2. Express the vector v = 3i – 4j as the sum of a vector parallel to b = 2i +3j and a vector…

A: Given, v→=3i^-4j^ The parallel vector c→ to the vector b→=2i^+3j^ can be written as c→=λb→=2λi^+3λj^…

Q: Two forces F1 = 6i + 8k and F2 = 5i – 10j + 10k act on a point object. What is the angle (to the…

A: When two forces acting on a object at the same point the resultant force is the sum of both forces…

Q: Find a non-zero vector i perpendicular to the vector i

A: See the attachment

Q: - The vector component of the force (3i- j + 2k)N in the direction of the vector (-4j + 3k) is A…

A: The solution is given as

Q: Find the angle 0 between the vectors. f(x) = 3x, g(x) = 4x?, (f, g) = | Rx)9 f(x)g(x) dx radians

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Q: A force is specified by the vector F = (155i +80j - 200k) N. Calculate the angles made by F with the…

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Q: di vergen a of the vector funchion v = xi+ 29j+ 32k, is Jhe 2

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Q: Find a vector that is perpendicular to both and 2. A =-i - 2j +4k B = 4i - j

A: Take cross product and it's magnitude then find unit vector in perpendicular to both vector

Q: A 4550kg aircraft generates a mid-flight thrust given by the vector F; 2j + 3.8k kN. It is…

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Q: 4. Determine the resultant of the forces: F, = 440 N [N29°E] and F2 = 275 N [S23°E]. %3D Answer:

A: By using vector addition.

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

A:

Q: solve for th e vector x in terms of the vectors a and b. x + 2a - b = 3(x +a) - 2(2a - b)

A:

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

A: We know that dot product of two vectors F→ and d→ is given as F⇀·d→=F→d→cosθ   ; where θ is angle…

Q: Find the work done by the force F = 9i – 6j in moving an object from the point (2, 4) to the point…

A:

Q: Find the work done by the force F = 7i − 9j in moving an object from the point  (8, 8)  to the…

A: Work done= Force X Displacement

Q: Q1A) The vectors A = 3i + j + 4k, B = 2i - 3j - k, find vector normal to A and In plane of A and, B.

A: Solution is given below:

Q: Q/ Find the Unit Vector perpendicular to the Plane 2X+22-4Y=3

A: An equation of a plane 2X + 2Z - 4Y = 3 To Find: Unit vector perpendicular to the  given plane…

Q: A force of 6 newtons is applied in the direction of the vector v = 2i + 2j - k. Express the force F…

A: Given vector, v=2i+2j-k

Q: (b) Derive a relation for V x B in curvilinear coordinates, where B in curvilinear coordinates. is a…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: A force F = 2i + j - 3k is applied to a spacecraft with velocity vector v = 3i - j . Express F as a…

A: We have given the force F = 2i + j - 3k with velocity vector v = 3i – j.

Q: A force is specified by the vector F- (145i + 140j-155k) N. Calculate the angles made by F with the…

A: Given problem Given that   A force is specified by the vector  F = ( 145i + 140j - 155k ) N The…

Q: Evaluate 1+ x² + y*dS, where S is the helicoid with vector equation r(u, v) 0 < u < 2, 0 < v < 2T

A: Given ∬S1+x2+y2dS where S is the helicoid with ru,v=u cos v, usin v, v, 0≤u≤2, 0≤v≤2π. Since ru,v=u…

Q: A force F = 9i + 8j – 4k is applied to a spacecraft with velocity vector v = 2i – 7j. Express F as…

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Q: Part 1: Three forces lying on the xy-plane are applied on a rock stuck on the ground (situated at…

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Q: Q1. A- Find the cross product (uxv) of vector (u = i – 2j + 5k) and vector ( v=). Are the two…

A: Topic = Vector If the cross product of two vectors is zero it means both are parallel to each other.

Q: The velocity of a particle is given in terms of the time t by v = sinti - 2cos(2t)j + t2k   where…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.