Find the sum of two vectors Á and B lying in the xy plane and given by A = (2.0i + 2.0j) and B = (2.0î – 4.0j) -

Q: Which of the following is the equation of the plane passing through the point (0,2,-3) and with…

A: Plane passing through the point (0,2,-3) and with normal vector 4i - j -2k means perpendicular to…

Q: Consider two vectors ā = 4i – 5j + 2k and b = -2i + 2j + 7k. Find (a) ä + b (b)ā – b, and () a thicd…

A: Given vectors are  a→ = 4i^-5j^+2k^b^ = -2i^+2j^+7k^

Q: : Let x and y be non-parallel vectors. Prove that (x + y) and (x - y) are vectors perpendicular to…

A: For two vectors A→ and B→, the angle between them is θ. The dot product of these vectors…

Q: 42. For the two vectors A = 4.0i + 3.0j + 2.0k and B = –1.0i + 2.0j + 1.0k, calculate A · B and A ×…

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Q: Consider the vectors A = (-5.4, 8.8) and B = (8.7, -9.4), such that A - B + 3.8C = 0   What is the x…

A: Let the coordinates for point C be (x, y).For the given coordinates of A and B, vector…

Q: find the angle between two vectors, 6 and 8units long, when their is 10 units long and 4 units long

A: Use cosine theorem When 10 units long a = 6 , b = 8 and c= 10 (10)2  = (6)2 + (8)2 + 2×6×8 cosA  100…

Q: Consider the vector v→=0.5t8ı^−13t2ȷ^. Using this vector, evaluate the derivative of the magnitude…

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Q: Problem 4: Consider the three vectors A = 2.3i + 2.1j+9.3k, B = -11.6i + 1.1j+ 4.1k, and C = 1li -…

A: solution as

Q: Calculate the magnitude of the sum of the three vectors: A = 105 N at 35 degree, B = 164 N at 125…

A: A = 105 N at 35 degree B = 164 N at 125 degree And C = 183 N at 208 degree   Magnitude of resultant…

Q: Given the two points P(1,2,3) and Q(2,-2,1) find the vectors

A: Tail of both 'vector lies on origin

Q: Given two vectors A and B. Find the angle between them if A = { 2 , 3, 4} and B = { -2 ,2 -4, }

A: To solve the given question, we will write down the given two vectors in vector form and then we…

Q: What is the unit vector for vector M = [3.5, 4.8, -9.3] N a. [0.317, 0.435, -0.843] b. [0.435,…

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Q: If the vectors 6i- 2j + 3k, 2i + 3j - 6k and 3i+ 6j- 2k form a triangle, then it is (a) Right angled…

A: Given vector--- vector P = 6i-2j+3k . vector Q = 2i+3j-6k . vector R = 3i+6j-2k . We have to…

Q: Two vectors are given by a = 3.3i + 4.1j and b = 6.6i + 5.5j. Find the component of (a) along the…

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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: Wector A lies in the XY plane and makes an angel 0 with the positive x-axis. if the y-component of…

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Q: Two points are given in polar coordinates by (rθ) = (2.00 m, 50.0°) and (r,θ) = (5.00 m, −50.0°),…

A: Given: (r, θ) = (2.00 m, 50.0°) and (r, θ) = (5.00 m, −50.0°)

Q: ctors A = 4ax + 3ay  and B = ax + 2ay + 2a

A: GivenA→ = 4ax + 3ay  andB→ = ax + 2ay + 2az

Q: What is the vector product of A = 2.00 i^ + 3.00 j^ + 1.00 k^ and B = 1.00 i^ - 3.00 j^ -2.00 k^?

A: The given vectors, A→=2.00 i^+3.00 j^+1.00 k^B→=1.00 i^-3.00 j^-2.00 k^

Q: What is the magnitude of a→×(b→×a→) if there is an angle φ = 23.0° between the directions of a→ and…

A: Since, a⇀⊥b⇀×a⇀ Then, The value of, a⇀=7.9b⇀=5.1ψ=23.0°

Q: Consider the vectors A=4i+8j and B=30i-12j, If 2A-B+7C=-5i-10j. Find the magnitude of the vector C

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Q: Let vector A  point from the origin into the second quadrant of the xy plane and vector B point from…

A: When subtracting vectors, the rule is to graph the first two from the origin and then connect them…

Q: What is the angle between two vectors A and B if A=4i + 12j +6k and B= 24i -8j +6k

A: If θ is the angle between two vectors A→ and B→, then cosθ=A→·B→A→B→

Q: The x-component of the unit vector from the point A(-2, -3) to the point B(-1, 6), is:

A:

Q: Consider three vectors A = 15.3i + 1.7j, B = 9.5i + 9.1j, and C = -2.7i - 11.4j. What is the result…

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Q: Find the angles that vector Ď = (2.5î – 4ĵ + k) m makes with the x-, y-, and z- axes. 0x Oy = = 0₂:…

A: GIVEN: D= 2.5i^-4j^+k^

Q: Let θ be the angle that the vector A vec. makes with the +xaxis,measured counterclockwise from that…

A: There are two physical quantities in nature- scalar and vector. Scalar quantities are those which…

Q: Two points are given in polar coordinates by (r, ?) = (2.60 m, 50.0°) and  (r, ?) = (3.00 m,…

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Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 4.58 and 8.82 units, respectively,…

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Q: 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…

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Q: Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following:…

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Q: Given that u is a vector of magnitude 3, v is a vector of magnitude 4, and the angle between them…

A: Given: The magnitude of vector u is 3. The magnitude of vector v is 4. The angle between the vectors…

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

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Q: The point specified by the Cartesian coordinates (3, 5) is which of the follow when converted to…

A: cartesian coordinate of a given point = (3,5)

Q: 7.60 In Problem 7.59, what is the vector component of F parallel T to the surface?

A: As A is at the centre of the plane so, The coordinate of A will be half of the plane's coordinate:-…

Q: We have two vectors A=(6.0, 9.6) and B=(-8.6, 4.4). What angle does the sum of these vectors make…

A: A = (6, 9.6), B = (- 8.6, 4.4)  Write the vectors in the component form A→ = 6 i^ + 9.6 j^B→ =  -…

Q: Find the angle between the following pair of vectors;  A=-4.00i + 2.00j and B = 7.00i + 14.00j

A: The angle between the two vectors is cosθ=A→·B→A→B→ Here A→ and B→ vectors.

Q: Let be two vectors, such that a=(3+2j-2k) cm and b=(2î+2j+k) cm, calculate: 1) The angle between the…

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Q: The vectors from the origin to the points A, B, and C are i + j, 3i + k, and 4i – 3j – 4k,…

A: We first find the vectors of the sides AB, BC and CA. Then find if any two vectors are perpendicular…

Q: Vectors A ⃗ and B ⃗ are two orthogonal vectors in the xy-plane and they have identical magnitudes.…

A: Given data: A→=3.0i^+4.0j^ A→=B→

Q: Find a unit vector (a) in the direction of v and (b) in the direction opposite of  v = ⟨6, 0, 8⟩

A: Let us consider v⇀ having coordinates (6,0,8) respectively. v⇀=6i^+0j^+8k^ v⇀=6i^+8k^ ------(1)…

Q: What is the scalar and vector product of A and B respectively, if A =2.2 î+3.4 ĵ B=4.4 î+2.0 ĵ

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Q: Two vectors are given by a→=4.0î+2.8ĵ and b→=2.1î+7.7ĵ. Find (a) ||a→×b→||, (b)a→⋅b→,…

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Q: 2)1F the Volume is egual to Zero ,then the all Vectors line in the same planc. a.T b.F

A: Given  volume of parallelepiped formed by the vectors is zero

Q: show that the vectors A= 1/2 q1+ 1/2 q2+1/2 q3+ 1/2 q4 and B= 1/2 q1 - 1/2 q2 + 1/2 q3 - 1/2 q4 .…

A: Dot product is defined as: A⇀.B ⇀ = ABcos(θAB) The dot product of orthogonal vectors is 0, since the…

Q: Let vectors A=(2,1,−4), B=(−3,0,1), and C=(−1,−1,2).Calculate the following: What is the angle θAB…

A: Given,

Q: Two points are given in polar coordinates by  (r, θ) = (1.80 m, 50.0°)  and  (r, θ) = (4.00 m,…

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