Find the sum of two vectors A and B lying in the xy plane and given by A = (2.01 + 2.0j) m B = (2.0î – 4.0j) m and %3D

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: Two vectors are given by A = 3 î + 6 ĵ and B = -1 î + ĵ.  Find A x B Find the angle between A and B

A: Given value--- Two vectors are given by A = 3 î + 6 ĵ and B = -1 î + ĵ.  We have to find--- Find…

Q: A. Give the vectors M = -10åx + 4ãy-8å, and vectors N = 8å, + 7ãy-2ãz, find the following: %3D 1. a…

A: Solution: A.3 Given vectors are: M=-10ax^+4a^y-8a^zN=8a^x+7a^y-2a^z,|M|=102+42+-82     =180…

Q: What is the angle between vector Å = 5i + 2j + 9k with z-axis? 80° 45.80 30.9° 61.5°

A: angel between A→ = 5i^ + 2j^ + 9K^ and z - axis. The formula to find the angle between vector and…

Q: The vectors A and B are given by A = 2î + 3j and B = -i + 29.  (A) Determine the scalar product…

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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: Vector u = <-7,3,-5> and vector v = <-1,1,0>. Find v X u.

A: The objective of the question is to find the cross product of two vectors v and u. The cross product…

Q: a) Find the unit vector în perpendicular to the plane shown below (a). b) Find the angle between the…

A: a) To find the unit vector perpendicular to the plane, we need to follow these steps. Find two non…

Q: Dot Product, polar coordinates: If A = 8 < 21 degrees and B = 5 < 62 degrees, find А-В

A: We will first convert the polar coordinates into the cartesian coordinates. Using these coordinates…

Q: VII. Find the magnitude D + E and D- E where vector D = 31 - 4j - 2k and vector E 41-j- 2k. %3D

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Q: Find the following quantities for A⃗ and B⃗ A⃗ = −12mˆi + 4.0mˆj + 1.5mˆk B⃗ = 2.8Nˆi − 21Nˆk (a) A⃗…

A: Given, A = −12mˆi + 4.0mˆj + 1.5mˆk B = 2.8Nˆi − 21Nˆk

Q: Given  vector M= 4 î + 4 ĵ − 5  and vector N= 5 î − 4 ĵ − 3k̂ , calculate the vector product, vector…

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Q: 4) Express the uniform vector field F = 5 ā, in a) cylindrical components; b) spherical components.

A: 4) Given: Uniform vector field in rectangular coordinate system, F→=5 a→x To find: a) Cylindrical…

Q: What angle OB, where 0° < OB < 360°, does B make with the +x-axis? Express your answer in degrees.

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Q: Find the angle between A = 10a + 2a, and B 4a, + 0.5a¸ , using dot product. y y 3 Answer:

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Q: Give the vectors M = -10å, + 4ảy-8ã, and vectors N = 8å, + 7ãy-2ãz, find the following: 1. a unit…

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Q: (H.W) We consider the vector: A = 31 + j + 2k %3D (a) Find the length of A Ans. 14 (b) Find the…

A: Here we are using the general formulas of vector analysis

Q: Two vectors are given by d = 7.0f + 2.6 and b = 5.41 +9.7). Find (a) d x b (b) d b d + b) %3D and…

A: Given:a→ = 7.0 i^ +2.6 j^ b→ = 5.4 i^ + 9.7 j^

Q: Prove that a vector lying in the (hkl) plane must satisfy the following equations: а) R3 (АM) a +…

A: The reciprocal lattice vector of Bravais Lattice is set of all k→ a. R→= n1a+n2b+n3cTo lie a vector…

Q: = Given the following vectors: A 15.0 m at 40.0° counterclockwise from the +y-axis, B=20.0 m at…

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Q: Use the definition of scalar product, a b = ab cos 6, and the fact that a b = axbx + ayby+ a₂b₂ to…

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Q: M Y Z N

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Q: (In questions and answers, the letters i, j and k represent the unit vectors along the directions x,…

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Q: For the vectors a = and b = find orthab.

A: Vectors are given as and Note:Find:Orthogonal projection of  on , that is,

Q: Q1\Given two vectors P=2ax-ay + 3a, and Q = 4ax +3ay + 3a, find 1- a unit vector perpendicular to…

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Q: Two vectors are given as follows: A -3i + 6j – 5k; B = -2i . What is the magnitude of the sum of the…

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Q: A = 3.00î + 5.00ĵ and B = 10.00î + 6.00ĵ %3D

A: Answer :  The angle between these two vectors is ∅= 28.072°

Q: :P and Q are two vectors and "0" is the angle between them. Given that PxQ=(P.Q), find the value of…

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Q: Vector math in physics G12. Let vector B have magnitude 5m and direction 60 degrees measured…

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Q: a/ What is scalar component of vector W in direction of vector P?  b/ Smallest angle vector P makes…

A: This question can be easily solved by applying the basic concept of vectors and scalars .

Q: Product, rectangular coordinates: If A = 5 i + -8 j and B = 12 i + 18 j,

A: Given:- A = 5i + -8 J  B = 12 i +18 j  Find;- The Dot product  A.B

Q: Use the definition of scalar product, a b = ab cos 0, and the fact that a = axbx + ayby + azbą to…

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Q: given the vector v=i+2j+k what is the angle between v and the xaxis

A: v→ = i^ + 2j^ + k^ Magnitude of vector v = (1)2 + (2)2 + (1)2= 1+4+1= 2.45

Q: Vector A = 7.2 i + 2.6 j. Vector B = 7.5 i + 7.4 j. The magnitude of the cross product i.e. |AxB|…

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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: Given A = y 4a + a_and vectors B = 2a_ + 3a , find the scalar projection of A on B. %3D 2 Answer:

A: Given  A→=4ay→+az→B→=2ax→+3ay→ Scalar projection of A→ on B→ is given by, s=A→·B→B

Q: = 2. At any point of the curve x Tangent vector 3 cos t, y = 3 sin (ii) Unit tangent vector

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Q: polar angle of point

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

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Q: Q(2) Consider the two vectors A= 31 – 2j and B = 2i – 3j. Calculate the angle between the two…

A: Given the two vectors  A= 3i - 2j and B = 2i - 3j. We have to find out the angle between the two…