For A= 3î + 4ĵ − 3,  B= -2î + ĵ + , and  C= 2ĵ − 5, find C · (A −B ).

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: A high-speed aircraft takes-off in the xyz-plane and the coordinates are given by x(t) = αt, y(t) =…

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Q: (a) 0.20 m, E = 675000 (b) 0.10 m, E= -2.70E6 (c) 0.025 m. E = 0.000E-4 N/C N/C ✓ N/C ✓ radially…

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Q: Consider the following vectors: A=3i+ 6j B=2i – 3j+ 4k C=5i – 2j+ k Find (a)R=A+B – C (b)А . В (с) В…

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Q: A = (2, -4) and B = (-3,3). Determine the distance between points A and B and find their polar…

A: Two points given in the xy plane  A = (2, -4) and B = (-3,3)   Find: Distance between the A and B…

Q: For the given vectors V₁ and V₂, determine V₁ + V₂, V₁ + V2, V₁-V2, V₁ X V2, V₁ V₂. Consider the…

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Q: Three vectors are given by a⇒→=4.00î + (3.00)ĵ +(4.00)ka→, b→=0î +(-3.00)ĵ +(-4.00)k and c→=-3.00î…

A: According to question we need to solve vector problem.

Q: fter adding vectors you find that the x component F the resultant is -16 and y comp is 7. nd the…

A: angle is given by tanθ =Ay /Ax

Q: Vectors A→A→ and B→B→ both have a magnitude of 8. If their resultant has a magnitude of 10, what is…

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Q: Find the general solution for the following differential equation: y' +9y = -3/ General Solution:…

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

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Q: A circular area S is concentric with the origin, has radius a, and lies in the yz-plane. Calculate…

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Q: Consider two vectors, A = 16.1 m at 44.0°, and B (-9.70î + 3.70j) m. Determine the x and y…

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Q: Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the…

A: a)Resolve vector A into respective x and y components as,

Q: Given two vectors: The expression 2N-M is: A) No Answer B C D E - 7i+ 12j - 3k - 12i - 36j+ 10k…

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Q: Solve the quadratic equation 5.00t2 − 4.00t − 6.00 = 0 using the quadratic formula, finding both…

A: General form of quadratic equation is,

Q: Given u = −7i − 5j and v = −10i − 9j, what is projvu?  a −9.937i − 8.943j  b −6.956i − 4.968j  c…

A: u→=-7i^-5j^  v→=-10i^-9j^

Q: vo (m/s) θ (º) vx (m/s) vy (m/s) t 1/2 (s) Δx (m) Δy (m) tT (s) 20 30…

A: The chart represents the motion of an object in a circular track, we can find the x and y components…

Q: Given P = 32 u, 90° N of E and R = 12 u, 45° N of E, find P - R in unit-vector form. Use the…

A: Given:P→ = 32 u, 90° North of EastR→ = 12 u, 45° North of East

Q: Show that |a + b| ≤ |a| + |b|

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Q: Given vectors A=21+3j+k and B= k and find B*A

A: The 2 vectors are given asA = 2i⏞ + 3j⏞ + k⏞B = k⏞ They have asked for the cross product of the 2…

Q: A vector→AA→has a magnitude of 44.0 m and points in a direction 20.0° below the positive x-axis. A…

A: The vector A is in the fourth quadrant since it is 20o below positive x axis. In the fourth…

Q: With two vectors in Cartesian coordinates have components A = (1, 1, 3) and B = (4, 2, 5).   What…

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Q: Which of the following is not true? ○ V1 (1) V2 (2) = V1 (2) ₂ (1) ○ V1 (1) V₂ (2) + ✨1 (2) ₂ (1) =…

A: If we take two Particles 1 and 2 and considering state ?1 and ?2 .

Q: find (a) 2u + v and (b) 5u - 2v.

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Q: For A= 4î + ĵ − 3k,  B = -4î + ĵ + 5k, and  C= 5ĵ − 2k, find C · ( A−B )

A: Given : A= 4î + ĵ − 3k B = -4î + ĵ + 5k C = 5ĵ − 2k

Q: The natural (Plank) Unit of a physical quantity Q has the form: {Q}Plank= ħnlcn²Gn3 where: the Plank…

A: As per guideline we are suppose to do one from multiple unrelated questions, please post them…

Q: Consider the vectors a = i + 2j and b = j + k Find the angle θ (in radians) that is between a and…

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Q: Find the distance from the origin to the plane 3x − 2y − 6z = 7

A: The equation of the plane is, Now, compare the above plane with the general form of the plane (ax +…

Q: Suppose that you have two vectors (1,0,0, 1) (2,0,0, 2) at What is a"b,?

A: Given that aμ=(1,0,0,1) and bμ=(2,0,0,2) we have to find the value of aμbμ

Q: 9.7i + 4.6) and = 9.21 + 9.5). Find (a) a x B (10) .0( + B). Two vectors are given by d and (d) the…

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Q: Two points in the xy plane have Cartesian coordinates (1.50, -3.50) m and (-6.50, 6.50) m. (a)…

A: a) distance between the points AB=(−6.50−1.50)2+(6.50+3.50)2  m=12.806m b) Now we need to determine…

Q: Given that Ã+ B = x₁ Î+Y₁Ĵ and ì B = x₂Î +⁄₂Î, what is ?

A: Addition of two vectors is A→+B→=x1i^+y1j^ Subtraction of the same vectors is A→-B→=x2i^+y2j^ Find:…

Q: Let vectors: A=(1,0,−3) B=(−2,5,1) and C=(3,1,1).   Calculate A×(B×C) Calculate A⋅(B×C)…

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Q: Find the unit vector ˆeD in the direction of vector D~ = 1/2 ˆı +ˆj + 2/3 ˆk .   (a) 1/√ 61 3ˆı +…

A: The vector D can be given as, D→=12i^+j^+23k^

Q: Two particles are fixed on an x axis. Particle 1 of charge 44.7 µC is located at x = -20.4 cm;…

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Q: Vector  B→B→ has magnitude 7.30 and direction 14.0° below the +x-axis. Vector  C→C→ has x-component…

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Q: Given vector A = xz ax -Xy ay +yz az 1. Transform A into cylindrical coordinate and it's magnitude…

A: Given data: The vector is A=xzax-xyay+yzaz.

Q: VectorI is 20.00km southeast, Z is14.00km west,A is 12.50km 35degree W of S, and L is 15.00km…

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Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.