Given the vectors A = -5i - 3j - 8k ; B = 4i - 2j + 3k ; C = 10i -12j - 8k a. Find A x B b. Evaluate the mixed triple products A . (B x C) c. Find : A x (A x B)

Q: Two vectors are given by a→=1.5î+5.7ĵ and b→=1.4î+2.2ĵ. Find (a)|a→×b→|, (b)a→⋅b→,…

A: Given,  a→=1.5i⏞+5.7j⏞b→=1.4i⏞+2.2j⏞

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: Nector ABC are defined as fano) A = 2.9i 15-8j 4.3 K %3D B = 2:5i -3.7j+4.2 K %3D = 8.5it 3.2 K o)…

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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: Consider the following vectors: F = i-2j-3 k G = 2 i-4j-6 k H = i+j+k Find the value of the vector D…

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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: If A=21 +3j and B=4i +2j, the angle between the vectors A and B is

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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: Two vectors lying in the xy plane are given by the equations A = 21 + 3ĵ and B = -i + 2 j. Find A x…

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Q: Consider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i +…

A: Given,A = 2.0i - 4.0j + 1kB = 3.0i + 4.0j + 10.0k C = -3.0i - 4.0jD = -3.0i + 4.0jE = -2.0i + 3.0j +…

Q: Given the vectors Vị = 3î +j+ k V2 = -2î – k (a) Find the angle between vị and v2. (b) Find v2 × V1.

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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: The two vectors shown in the figure lie in an xy plane. What are the signs of the x and y…

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Q: 2. Three vectors are given as below. A = -4.5 î + 2.0 ĵ + 2.9 k B = -2.0 î – 4.0 ĵ + 2.0 k C = 2.5 î…

A: The three vectors namely vector A, B, and C are given as follows:…

Q: nd the vector v having length |=2 and direction 0 = 135°

A: Given values:- v=2 -----(1) Direction,(θ)=1350 ----(2) Now according to the vector condition, we…

Q: wo vectors are given by đ = 1.3i + 1.8) and 3 = 7.9î + 1.6). Find (a) à x B (b) ở - B.(c)( a + B).…

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Q: Given two vectors A = 7i+5j-2k, and B = 3i - 10j + 6k, what is the angle between the two vectors? O…

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Q: <Week 6 Short VectorDot3 Part A Find the angle between each of the following pairs of vectors A =…

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Q: Find the sum of two vectors Á and B lying in the xy plane and given by A = (2.0i + 2.0j) and B =…

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Q: If W = 3i – 4j and R = 2i + 4j - 3k, evaluate the vector triple product W x (W x R).

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Q: The forces F, = (2i + bj) N, F2 = (-i+2j) N and F3 = (ai – 4j) N act through the points wit position…

A: Part a: Since, the system of forces is equivalent to just a couple, the net force must be zero.

Q: Show that when A⃗ +B⃗ =C⃗ A→+B→=C→, then C2=A2+B2+2ABcosφC2=A2+B2+2ABcosφ, where φφ is the angle…

A: Given:-  A→+B→= C→ Find:-  Show that C2 = A2+B2+2ABcosφ here φ is the angle between vectors A→ and…

Q: The components of vectors given as follows: Bx = -9.2 Cx = -4.5 By = -6.1Cy = + 4.3 The angle (less…

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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: 8. Vectors A and B are shown below. What is -5.00A + 4.00B ? B 5 4 3 -2 2 3 4 $z A

A: The position vector A will be, A→=-3i⏜-3j⏜ The position vector B will be, B→=-2i⏜+4j⏜

Q: 3. Given the vectors A = - 5i - 3j - 8k B = 4i - 2j + 3k ; C = 10i - 12j - 8k а. Find A х В. b.…

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Q: Given two vectors A = (3Î – 2ĵ + 5k) and B = (6î – 7ĵ + 4Êk) find: (a) A²; (b) B²; (c) (A · B)².

A: A= 3i - 2j +5k  B= 6i -7j +4k

Q: Three vectors are given by: d = 21 – 35 + 5k, B = -2î + 7 – k and č = aî + 2ĵ – 4k. a) Find a, 2 ,…

A: We have been provided with three vectors so, we will solve them by breaking them into steps.

Q: For the following three vectors, what is 50 (2 x B)? A = 2.00î + 3.00ĵ – 6.00k B = -3.00î + 2.00ĵ +…

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Q: A vector A = Axi + Ayj + Azk has magnitude A. Then the dot product of the vector with itself, A.A is

A: the given vector is A=Axi^+Ayj^+Azk^

Q: : Express the vector 2i + 3j – k in the primed triad i'j'k' in which the x'y' axes are ated about…

A:

Q: For the following three vectors, what is  3⋅C→⋅(2A→×B→)…

A: (2A X B) can be calculated as follows,

Q: If A + B = 6i + j and A - B = - 4i + 7j, then the angle (in degrees) enclosed between the two…

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Q: Consider the two vectors, A= 17x+11.5y, B= 4.5x-3.5y a. What is the magnitude of the vector 3A+B?…

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Q: Find two unit vectors that are orthogonal to both u=3I + 2j - 4k and v=-6I +3j + k. What is the…

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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: C = 12.0 B = 5.0 F= 20.0 60 A A = 10.0 30 B. 30° 53° D= 20.0 37° Assuming the +z-axis is horizontal…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: Three vectors, a = 6î +2ĵ – 4k , 5 = -3î +4 j+ 2k , č = 6î +7}+3k, Find the following: а) За b) с хь…

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Q: 6. Given vectors A = 2âz + 4ây + 10â, and B = –5âp + âs – 3âz, find %3D (a) Ã+ B at P(0, -2,5) ,…

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Q: Given the vectors M = -10a, + 4a, – 8a, and N = 8a, + 7a, – 2a,, find: (a) a unit vector in the…

A: Given, M = -10ax +4ay -8azN =8ax + 7ay - 2az

Q: Consider the two vectors A= 12i+ 5j and B=-3i. What is the cross product Ax B? O 51 k O none of the…

A: Given data:  A→ = 12i^ + 5j^B→ = -3i^ Required: The cross product of vector A and B

Q: Two vectors are given by A = 3 î + 6 j and B = -1 î + ĵ. (a) Find A x B. (h) Find the angle between…

A: GivenA→=3 i+6 jAndB→=-1 i+j

Q: Three vectors are given, what is 3C · (2A × B)? A = 2î + 33 – 4k B = -3î + 43 + 2k Č = 7î – 8ĵ

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Q: For the following three vectors, what is 3. 7 . (2 Ả × B )? A = 2.00î + 4.00) – 3.00k B = - 3.00î +…

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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: %) Problem 5: Consider the following vectors: A 4.6i+ 1.4j + 3.4k B -6.5i + 7.1j+ 10.2k

A: Given A̅ = 4.6 î + 1.4 ĵ +3.4 k̂  B̅ = -6.5 î +7.1 ĵ +10.2 k̂

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.