Find a vector of magnitude 8 in the direction of i = (-4, –6, –1). Vector is Find a vector of magnitude 3 in the direction opposite to the direction of w = (6,4, 1). Vector is

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: Let S = (-1m)î + (2m)ƒ – (3m)k and T = (4m)î – (6m)k. The angle between these two vectors is given…

A: Given data: S→ = -1mi^ + 2mj^ - 3mk^T→ = 4mi^ - 6mk^ Required: The angle between vectors

Q: Find the angle made by the vectors A and B given below A=(2,1,3). B=(3,-2,1).

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Q: The vector orthogonal to 6? +7ĵ and 2î+6ĵ is .k Answer:

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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: : 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: Prove that the magnitude of the vector

A: To prove: magnitude of a vector M→(x,y)=M

Q: find its magnitude and direction (r,θ)

A: The given vector can be represented as, Here, rx and ry represent the vector’s x-component, and the…

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: 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: The vector orthogonal to 8 +7 and 8 +8 is

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Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

Q: Given two vectors A= 7i + 4j − 2k, and B= 3i − 10j + 3k, calculate the angle between them, where i,…

A: Given Data:- Two vectors are A→=7i^+4j^-2k^ B→=3i^-10j^+3k^ Required:- We need to calculate the…

Q: Given two vectors A and B. Find the angle between them if A = {2, -3, 4} and B = { -1,2, -2}. be…

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Q: Consider two vectors F = – 2i + 3j – k, and S = 4i – 3j + 2k. The dot product F.S =

A: Given that, F =  - 2i + 3j - k S = 4i - 3j + 2k The dot product of F·S is given by…

Q: Find the angle between vectors for (a)D ⃗ = (−3.0i ^ − 4.0j ^ )m and A ⃗ = (−3.0i ^ + 4.0j ^ )m and…

A: (a)

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: Find the angle between the two vectors Ả = 2 î + 3ĵ + k B = -4 î + 2ĵ – k and

A: Given  A=2i+3j+k B=-4i+2j-k

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

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Q: Consider the vectors A = (-8.1,5.4) and B = (10.7,-9.1), such that A - B +2.7C = 0. %3D

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Q: The cartesian coordinate form of two vectors are: (-2, 0, 2) and (1, 1, 1). Find the angle between…

A: Given: The cartesian coordinate of the vectors is (x1, y1, z1)=(-2, 0, 2) and (x2, y2, z2)=(1, 1,…

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 angle e between vectors à and B if A = 3 i +4 ĵ and B = 8 î – 6 j?

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Q: The distance vector from pointA (2, –3,1) and B(1,5, –3)

A: given point A =( 2 , -3 , 1)  therefore A→= 2ax-3ay+1az. point B = (1,5,-3) B→= 1ax+5ay-3az.where…

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: In unit vector notation, å, and åz vectors are given as å, = -3î + 6ĵ + 2k and åz = -2î – 5j + 2k.…

A: Introduction : Angle between two vectors can be found by taking their dot products. Given :…

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: What is the angle between the two vectors A = 2i + 3j and B = i- 2j is * A 0° 120° 90° 60°

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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: Three points, A, B, and C, exist on an XY-plane. The positions of points A and B are (3,1) and…

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Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (5,…

A: Vertices of rectangle: A(5,6), B(8,12), C(-40,36), D(-43,30)  When we'll plot these vertices on…

Q: What is the vector product of the following vectors? Show your solution  ?=3?+5?−2?   ???…

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

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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 three vectors A = -2i + 3j + 4k, B = 3i + 1j – 3k and C = 3i -4j + 2k, do the following: d)…

A: GIVEN : A =-2i+3j+4kB=3i+1j-3kC= 3i-4j+2k

Q: Consider the two vectors A = 5 î – ĵ and B = - î – 6 j.

A: As the operations in two vectors A→ =  a1i⏞ +a2j⏞ and B→ = b1i ^ + b2 6j^A→ + B →=a1+ b1 i^ + a2 +…

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: Find the angles that vector D⃗ =(2.0iˆ−4.0jˆ+kˆ)mD→=(2.0i^−4.0j^+k^)m makes with the x-, y-, and z-…

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Q: Given the two vectorsA=-8i,-4j,-6k and B=2i,+3j,-7k, find (a) A+B, (b)A-B, and (c)-4A (d)A•B (e)AxB…

A: Given:

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: 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: 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: For the pair of vectors, find U + V, U − V, and 4U + 2V. U = −9i + 9j, V = 9i + 9j

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Q: For the vectors i and v given below, find u i, the hermitian products u into i and i into u', the…

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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,