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

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

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Q: The unit vector from A(4, 2) to the point B(-2, 10) is:

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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: 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: 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: calculate the cosine of the angle between this two vectors : A=3i+j+k B=-2i-3j-k

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Q: / The vectors A and B are given by A=-2î –3j and B = i -2j. nd 1.AxB and verify thatAxB =-BxÃ. 2.…

A: Given values:- A→=-2i^-3j^ ----(1) B→=i^-2j^ ----(2) (1) Let (R→) be the resultant value of A→×B→…

Q: If AxB = 3 A.B, then the angle between the vectors A and B is: o 84.3 071.6 63.4° 076.0

A: Given : |A→×B→| = 3A→.B→       .....(1)To find :Angle between the vectors A→ and B→

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 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: The vector product of vectors A and B is maximum, therefore * O O vectors A and B are parallel in…

A: Given: The two vectors are A and B. To find: The condtion for the maximum vector product.

Q: Calculate the angle between vectors A=î+3ĵ+2k and B=î+27+3R

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Q: Consider two vectors Å = -5î – 3j + 2k and B = -8j - 2k, find the angle between vectors Å and B.

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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: 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: Qe A Find the Vector 5 unit length in the direction of vector perpendicular to the plane which…

A: First, we need to find unit vector perpendicular to the plane passing through these three points.

Q: Find the angle vector c makes with the +x axis. 10 10 Hint: Use inverse trig function, carefully.

A: We have to find the angle vector c makes with the +x axis. We can use inverse the trigonometric…

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

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Q: Find the angle between two vectors C= 2i+3j+k and D= 2j-4i-k *

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Q: Given vectors P=(3 m, 4 m) and Q=(4 m, 3 m), find the angle of P + Q.

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Q: Let S = (1m)i + (2m)j + (2m)k and T = (3m)i + (4m)k. The angle between these two vectors is given by

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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: 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: Find the angle between these given vectors: u3D{7.19] v- (12,-5]

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Q: Suppose U and V are unit vectors in R" and ||U – aW|| = 6 and angle between U&W is 90°, then the…

A: Answer                +√35  ,  -√35

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: : 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: Two vectors in Cartisian coordinates have components A= (2,2,3) and B =(4,-1,7). What is the dot…

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Q: If v×w =2i −3j+2k, v×w=2i−3j+2k, and v⋅w=5, and θ is the angle between v and w, then

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Q: Given points A(1,-2,3), B(3,-4,-6) and C(-2,3,5) Find: 1. RAB, RBc and RaC 2. Unit vectors of the…

A: We have 3 points A(1,-2,3), B(3,-4,-6), C(-2,3,5) and their corresponding vectors rA→=i^-2j^+3k^ ,…

Q: Given the vectors i =(- 3, 7, 4] and y = [- 6, 0, 8], determine b) proj š. a) The angle between i…

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Q: Two vectors A = 1î - 2j and B = 2î + 3]. Find the approximate angle between the vectors (-3A) and…

A: Given: A→=1i^-2j^B→=2i^+3j^

Q: Given vectors ū = [-2,3,1] i = [1,2, –2] and w = [4, –2, –1] find: b) ü w b) the angle between i and…

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Q: What is the angle between the following vectors? A=-2î + 3) B = 31 - 4)

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Q: Find the angle between two vectors A and B given by : A=6i +4f +2k and vector B=3f -5f-3k

A: Here given two vectors A and  B. Given A= 6i+4j+2k and B= 3i-5j-3k We have to find the angle…

Q: What is the angle between tw vectors A = 4i + 12j + 6k and

A: GivenA→=4 i+12 j+6 kB→=24 i-8 j+6 k

Q: Can two vectors, of unequal magnitude, add up to give the zerovector? Can three unequal vectors?…

A: If two vectors have equal magnitude but different directions then only their sum will be zero.

Q: Find the angle between these given vectors: u-{2,-3,5) v- (6,5,-3] %3D

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Q: À = 3î + 2ĵ ve B = -î – 4ĵ 40) Calculate the angle between the vectors.

A: Given data :  A= 3i + 2j  B = -i-4j

Q: Given two vectors A = 2ax + 4ay 10az , B = - $ ap + ap - 3az, and point P(0,2, - 5 ) The angle…

A: Given two vectors A-2ax +4ay +10az and B-5 ap+ad-3az, and point p -(0,2,-5) The angle between A and…

Q: Find the angle between vector a and b if a 2i +j - k and b= 3i - 6j + 2k

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Q: Two vectors A and B have precisely equal magnitudes. For the magnitude of A + B to be larger than…

A: The given condition is,

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

A:

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,