9. A particle of mass 0:3 kg is subjected to a force F=-k x with k = 15 N/m. What will be its initial acceleration if it is released from a point x = %3D 20 cm ?

Q: Find the vector sum of A and B if A is 6.5km, south, and B= 4.0 km, 45 degrees south of east

A: Resultant of two vector can be determined by parallelogram law of vector.

Q: Given vector A = and vector B = , what is A dot B?

A:

Q: two vectors A and B have magnitudes A=2 and B= 5. if the angle between them is 40 degree find the…

A: The magnitude of the cross product is given by  A→×B→ = A B sinθ where, θ is the angle between two…

Q: Find a vector (v) with an initial point <-5,-5,-4> and a terminal point of <4,-10,4>.…

A: The objective of the question is to find the vector v with given initial and terminal points and…

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

A:

Q: You are standing at the intersection as indicated by an emoji, you can take two possible routes from…

A: For the root passing via Ontario Street the vector notation can be drawn as, Here Resultant is…

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: Find a unit vector perpendicular to i+j+k and 2i+3j-k

A:

Q: Given Å=2+29+32 B-68+89+92 Find the vector product Ax

A: Given: The two vectors are given as A→=x^+2y^+3z^B→=6x^+8y^+9z^

Q: Suppose that Ø =2xy +z^2 find VØ at point (1,-1,3) and what is the component of VØ in the direction…

A: ∅=2xy+z2∇∅ = ∂∅∂xi+∂∅∂yj+∂∅∂zk=∂∂x2xy+z2i+∂∂y2xy+z2j+∂∂z2xy+z2k=2yi+2xj+2zk=2yi+xj+zk   ---(1) Hence…

Q: need help with this problem and how do i determine which trigonometric sign to use like cos or sin…

A: From the figure,we have Determine the magnitude and coordinate direction angles of the resultant…

Q: Two vectors P= 2i + bj + 2 and a-i+j+k will be parallel if (d) b=- 4 (a) b= 0 (b) b = 1 (c) b = 2

A: Given value--- P = 2 i + b j +2 k . Q =  i +  j + k . We have to find--- value of Q .

Q: › Vectors À and B lie in the xy-plane. Vector À has a magnitude of 11.6 and is at an angle of 155.5°…

A:

Q: Write the following x2+y2=16 in polar form.

A: The given expression can be written as below,

Q: Express the ff. as a single 2 × 2 matrix. exp (it)

A: We can every exponential in a matrix form. The solution of the above problem is as following in step…

Q: Given vector A =   and vector B = , what is A dot B?

A:

Q: If ø=61.1° and C=8.78, what is the y-component of vector C?

A:

Q: Given the following three vectors: A = -9î+7}, B =-6î -10} and vector C has a magnitude of, |=9 and…

A:

Q: Cx = 0, Cy= A Sin 60o+ B Sin 30o Ax and By point in the positive x and y directions, respectively.…

A: StepI:∙A→+B→  are added together to form  C→=A→+B→∙Cx=0,  Cy=A sin 60+B sin30∙We need to find the…

Q: Express the vector field D = (x²+y²)⁻¹ (X2x + Y2y) in cylindrical components and cylindrical…

A: Given Express the vector field D = x2+y2-1  xax+yay in cylindrical components and cylindrical…

Q: Prove A is perpendicular to A×B [Assume A=Ax i + Ay j +Az k, B=Bx i + By j +Bz k]

A: Solution:-Given thatProve A is perpendicular to A×B

Q: Consider a vector A = -3 a, + 2z az, convert A to spherical coordinates and find the radial…

A: Solution: It is given that, A=-3ay+2zazSo,Ax=0; Ay=-3; Az=2z   If we change the coordinate(x,y,z) to…

Q: Part C Enter the expression -20 + 6D in the answer box using the notation just described. Express…

A:

Q: Vector A = (8, 4, -5) and Vector B = (-2, 3, 0). Find the angle between these two vectors.

A: Vector A=(8, 4, -5)Vector B= (-2, 3, 0)

Q: Express the vector field B = (x^2- y^2)ay + xzaz in cylindrical coordinates at ( 6, 60o, -4) *…

A:

Q: For the vectors A = 2? •38, B= 39- 5 2, and find: %3D - (a) V = A B+C (b) V (C) V

A:

Q: Y-COMPONENT MAGNITUDE DIRECT1ON -COMPONENT 334.1 1501 3014 319.3 115-3 LVECTOR 7.9 7.10 -340 9.20…

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Q: Find the angle between the vectors a = 2i + 3j + 5k and b=i-2j + 3k.

A:

Q: What are the components of the vector 35.6m [E 56º S] ?

A: As the given vector is E 56o S, that is, 56o South from East, the vector can be written as, A=35.6…

Q: Assume = 36 and H = 4. Determine the x-component of H.

A: Given: The angle is alpha = 36 degree The magnitude of the vector H = 4 units