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 three vectors # 1 3. Find the angle form by RAB and RBc.

Q: Find the angle between the vectors A = −2i + j − 2k and B = 2i − 2j.

A: Now angle between the two vectors will be , cos-1a→·b→a→b→

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: If k is any positive number, what is the size of the angle between the vectors a = (k, k) and b =…

A: The angle between the vector a→ and b→ is define by the following formula. cosθ=a→·b→a→b→

Q: Determine the x-and y-coordinates of the trapezoidal shape. 2.0 b Answers: b 1.3 b A FHE )b

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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: Two vectors have the following magnitude, A = 10.4 m and B = 14.5 m. Their vector product is: %3D…

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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: Two vectors have the following magnitude, A = 14.8 m and B = 14.5 m. Their vector product is: AXB =…

A: Given in the question, A×B=-1.1 m i + 9.7 m k By taking modulus of the above equation, we get,…

Q: 1. Calculate the dot product of vectors a and b: 30.0 B (2.40 m) y 0 A (3.60 m) 70.0⁰ 2. Sam has…

A: 1.  Dot product between two vectors is given by, A'.B' = |A| |B| cos(theta)         = 3.6 * 2.4 *…

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: Two vectors are given by A = 4 î + 7j and B - -6 i + 2j. (a) Find AxB. (b) Find the angle between A…

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Q: 1. a) Find the angle between these vectors. A=2i+3j+k_ve B=i+2j-k b) Find Ax B.

A: Since there are multiple questions posted, we will answer the first question for you. If you want…

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 dot produet of any two vectors as 4 and 4 can be written as: A: 4.4, 4,A, cos0 c 14 x 4= 4,4,…

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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: Let 2 vectors å anb b a 121=53161-5 in the plane of modules. How much is the magnitude of their e…

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Q: Given the two vectors: A=[4.2, 3.5. –2.2] and B=[–3.8, –9.1, 2.4]. Which is the following is the…

A: We have a vector A which is given by A→=4.2i^+3.5j^-2.2k^ and a vector B which is given by…

Q: (3) (5 pts) Consider two vectors A, B which has the following forms: A = A,i + A,3 + A¸k, B = B,ì +…

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Q: Using the vectors u = (-1,0, 1) and &= (0, 1,0) solve the following problems

A: Given     u = (-1,0,1)  v = (0,1,0)  Now ....5u = (-5,0,5)  4v = (0,4,0)

Q: What is the vector product of the following vectors? Show your solution A = 3i+5j - 2k and B = −4i +…

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Q: Two vectors lying in the xy plane are given by à = 22 + 33 and B = -î + 2§. (a) Find Ä x B and…

A: Part (a) Find the vectors product as follows: Find the vectors product  as follows: Compare…

Q: 4. (20%, ABET-e). Determine the coordinates of the centroid of the area by direct integration.…

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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: (1.10) What is the angle between the two vectors A 2i2j+ k, B = 4i + 4j + 2k

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Q: For the vectors A=-21i+21j and B=7i+23j find the result of the dot product A.B Select one: 553.0 O…

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Q: Find the angle between the vectors A = 2i + 6j + 3k and B = 12i – 4j + 3k. Hint: a .b = ab cose %3D

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Q: If A C =-11.1, A = 3i -43, and C= 6.5, the angle between the two vectors when they are drawn…

A: The dot product of the two vectors is  A→ . B→ = A B cos θ where, θ is the angle between the two…

Q: Find the scalar product between the vectors ? = 5?̂ + 6?̂ + 1? y ? = −3?̂ + 4?̂ − 8?. What is the…

A: Let A,B are vectors  A= 5i + 6j + k  B= -3i + 4j - 8k

Q: Given M = 5 î + 2 ĵ – 5k and N = 3 î - 4 j - 3 k, calculate the vector product M x N. %3D +

A: The given vectors are: M→=5i^+2j^-5k^N→=3i^-4j^-3k^

Q: Let S =(−1m)i+(2m)j−(3m)k and T =(4m)i−(6m)k. The angle between these two vectors is given by

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

A:

Q: The two vectors A⃗ =(4.7)i^+(6.9)j^+(3.7)k^A→=(4.7)i^+(6.9)j^+(3.7)k^ and B⃗…

A: Vectors are multiplied in 2 ways. One ways results in a scalar from multiplication. Other way…

Q: f a= (5, -12), what are the magnitude and direction of a?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: 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: Vector A = 4.5 i+ 3.2 j. Vector B = 4.5 i + 4.2 j. The dot product of the two %3D is C = A•B (i.e. A…

A: Consider the vectors are:

Q: If we have two vectors, A and B, vector A extends from the origin to P1=(2,3,3) and vector B points…

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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: 2. Consider the following three vectors: A = 4i +6j– 2k B = 2i + 7j- 1k Č - 0i +3j + Sk 2.1 Find the…

A: solution as

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: 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 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: 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: Consider the following three vectors: Part C A= (2,-1,1). B= (3,0,5). and C= (1,4,-2). Calculate the…

A: Here A→=(2,-1,1); B→=(3,0,5); C→=(1,4,-2)  And we are required to find A+B+C, so we can find that by…

Q: Two vectors have the following magnitude, A = 13.1 m and B = 14.1 m. Their vector product is: AxB =…

A: We know, A×B=ABsinθ   Thus, the angle will be, θ=sin-1A×BAB