For given vectors i=(0.8, 0.6, 0), j=(-0.6, 0.8, 0), and k=(1, 0, 0) in 3D space; find the results of the following. (i · i means the dot product between i and i, i × i means the cross product between i and i)  a) i . j b) i . k c) i x k d) i x i e) ||i × k|| f) 2i → k (projection of 2i onto k)

Q: Two vectors have the following magnitude, A = 8.7 m and B = 5.9 m. Their vector product is:  A⨯B =…

A: Given Data: Magnitude of A vector, A=8.7 m Magnitude of A vector, B=5.9 m Vector product, A×B=-2.9 m…

Q: Two vectors have the following magnitude, A = 10.7 m and B = 12 m. Their vector product is:  A⨯B =…

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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: Sketch the following 3D vectors  A = 3î + 5ĵ – 4k and B = 6î – 7ĵ – 5k

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Q: Which of the following is used to find the component vector in the given direction? O a. Dot Product…

A: Dot product.   For a vector given with direction, the component can be found multiplying the…

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

A: given  A=2,2,3  B=-4,-1,7  Dot product of vector  A with vector B=?

Q: Question 1: a. Determine the two unit vectors that are orthogonal to i = (-2, –1). Which two unit…

A: a) Given vector is V ⇀=(-2,-1)    Let us consider a vector, a⇀=(x,y)which is orthogonal to v⇀…

Q: Two vectors have the following magnitude, A = 5.4 m and B = 6.5 m. Their vector product is:  A⨯B =…

A: Given |A| = 5.4 m |B| = 6.5 m A x B  = (-2.2 m) i + (5.3 m) k

Q: Two vectors have the following magnitude, A = 8.7 m and B = 6.3 m. Their vector product is: A⨯B =…

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Q: Two vectors have the following magnitude, A = 12.8 m and B = 7.1 m. Their vector product is: A⨯B =…

A: |A⨯B|=x2+y2           =-3.4 m2+11.7 m2           =12.2 m

Q: Two vectors have the following magnitude, A = 14.2 m and B = 5 m. Their vector product is: AxB =…

A: Given: The magnitude of the first vector is A→=14.2 m The magnitude of the second vector is B→=5 m…

Q: ) Suppose u = (–3, –5,0), i = (0, –5, 1), and w = (1,5, 5). Compute the three triple scalar products…

A: Given: u→=-3i^-5j^+0k^v→=0i^-5j^+1k^w→=1i^+5j^+5k^

Q: Two vectors have the following magnitude, A = 11.6 m and B = 14.3 m. Their vector product is: AxB =…

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Q: Find the cross product A x C for (a) A = 2.01 - 4.0j +k and C = 3.0i + 4.0j + 10.0k, (b) A = 3.01 =…

A: 1 )A→ = 2i^ - 4j^ + k^C→ = 3i^ + 4j^ + 10k^

Q: O Product of Vectors and Angle between Two Vectors 2.) A = 8i +4j – 2k lb 1.) Ä = 72.4 N, 32° E of N…

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Q: What is the scalar/dot product of the given 3-dimensional vectors: A = (xy)i + (2yz)j + (3xz)k and B…

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Q: A vectors A and B lying in the x y plane and given by A, = -7.4 cm and A, = -5.8 cm. Likewise, B =…

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Q: . Position vectors of two particles, A and B are given: A = 3i + 4j + 5k meters B = -4i + 2j - 7k…

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Q: 2. Calculate the total displacement of a cheetah with the following displacement vectors: • Ã = 80…

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Q: Two vectors have the following magnitude, A = 7.1 m and B = 8.8 m. Their vector product is:  A⨯B =…

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Q: Position vectors of two particles, A and B are given: A = 3i + 4j + 5k meters B = -4i + 2j - 7k…

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Q: Two vectors in Cartesian coordinates have components A=(1,2,3) and B=(4,2,5). What is the length of…

A: Cartesian coordinates of A = (1,2,3) Cartesian coordinates of B = (4,2,5)

Q: The two vectors A→ = (5.9) i^+(1.8)j^+(2.6)k^ and B→ = (2.1)i^+(5.4)j^+(2.2)k^ define a plane…

A: Given, Vectors,  A→=5.9i + 1.8j+2.6kB→=2.1i + 5.4j + 2.2k

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

A: The given three vectors are A=-2i+3j+4k,B=3i+1j–3k, and C=3i-4j+2k

Q: Q1) Given points A(p= 5, 6 = 70°, z -3) and B(p 2, 6 =-30°, z = 1), find: (a) a unit vector in…

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Q: A vector A = 1ax+1ay, the origin of this vector is the point M (1, 0.5, 1) in Cartesian coordinate…

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

Q: Determine the two unit vectors that are orthogonal to v = (-2,–1). Which two unit vectors are…

A: Let the orthogonal vector be represented by  B→=xi^+yj^and we have A→=-2i^-j^For orthogonal vectors…

Q: Two vectors A and B in three dimensional space are expressed by their coordinates (2, 4, – 5) and…

A: a) A→=2i^+4j^-5k^    B→=1i^+2j^+3k^

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

A: Cartesian coordinates of A = (2,3,2) Cartesian coordinates of B = (4,-1,7)

Q: Two vectors have the following magnitude, A = 9.6 m and B = 6.8 m. Their vector product is:  A⨯B =…

A: Given: The cross product of vector A and vector B is -3.7 mi^+8.6 mj^. The magnitude of vector A is…

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: 11.What is the angle between A = î + ĵ and B = ĵ – k ? 30° ® 45° = 50 cm with a vector B is 0 and…

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Q: Match the vector to its description.  The vectors are given by their components in 3D space, that is…

A: According to question we need to Match the vector to its description.

Q: On a plane flat surface with "up" given as  +y and  "right" given as +x, we add two vectors.  One of…

A: According to question we need to find magnitude and direction of second vector?

Q: given the 3 dimensional vectors: A i(xy) + j(2yz) + k(3zx) and B = i(yz) + j(2zx) + k(3xy) .…

A: scalar product =A̅•B̅

Q: Two vectors have the following magnitude, A = 7.2 m and B = 7.8 m. Their vector product is:  A⨯B =…

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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: 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: Find    the    cross   product →A × →C for  (a) A   = 2.0 ^i − 4.0 ^j + ^k and C   = 3.0 ^i + 4.0…

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Q: Let C be the projection of A onto B and D be the projection of B onto A. If the dot product of ac…

A: Solution: Given: C be the projection of A onto B. D be the projection of B onto A. Dot product of…

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: 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: The angle between A and B when A.B = 0 is a. 0 c. T/2 b. π/ d. t/6

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Q: Two vectors have the following magnitude, A = 8.7 m and B = 10.6 m. Their vector product is: AxB =…

A: Given data:  A = 8.7 m and B = 10.6 m AxB = -2.7 m i + 8.6 m k Required: The angle between vectors

Q: With respect to the following vectors: P = 9.73i - 7.36j + 1.02k; Q = - 1.77i - 3.68j + 1.43k,…

A: As per Guidelines, We are suppose to answer only 3 subpart from multipart question. Please post them…

Q: With respect to the following vectors: P = 9.73i - 7.36j + 1.02k; Q = - 1.77i - 3.68j + 1.43k,…

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Q: If the magnitude of the vector product of two vectors a and b are are equal to 0, then what do we…

A: Given: Two vectors : a→ and b→ Vector product =0 ab=0

Q: What is the cross product of a= (2, -5, 1) and b = (3, -2, -4)?

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Q: What is the dot product of two vectors A = 2x + 4 y + 7z and B = -3x + 8y - 2 z where it is…

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