Two vectors A and B in three dimensional space are expressed by their coordinates (2, 4, – 5) and (1, 2, 3) respectively. a) Write down the two vectors A and B in unit vector notations. b) Find the angles which the vector A = (2, 4, – 5) makes with the -x, +y and +z axes. c) Find the projection of the vector C = (2, 3, 1) in the perpendicular direction to the vector B = (1, 2, 3).

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: Two points in a plane have polar coordinates (2.40 m, 40.0°) and (4.50 m, 110.0°). (a) Determine…

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Q: A = (2, -4) and B = (-3,3). Determine the distance between points A and B and find their polar…

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Q: Two points in the xy plane have Cartesian coordinates (2.00,- 3.00) m and (- 4.00, 3.00) m.…

A: Given:-  The two-point  on the xy plane as  A= 2,-3 m B=-4, 3 m Find:-  a) The distance between the…

Q: How do I do part B?

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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: Given the points P (ρ = 5, Ø = 60°, z = 2) and Q (ρ = 2, Ø = 110°, z = -1)

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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: 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: Given a vector (77, 48, 22) and another vector (4, 49, 67) what is the z-component of their sum?

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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…

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A: Given vector--- vector P = 6i-2j+3k . vector Q = 2i+3j-6k . vector R = 3i+6j-2k . We have to…

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Q: If A = 4i − 3k and B = −2i + 2j − k, find the scalar projection of A on B, the scalar projection of…

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Q: Two points in the xy plane have Cartesian coordinates (5.50, -7.00) m and (-6.50, 6.50) m. (a)…

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Q: Wector A lies in the XY plane and makes an angel 0 with the positive x-axis. if the y-component of…

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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…

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Q: Find the cosine of the angle between vector R= 4.3î + 2.1ĵ+7.3k and the positive direction of…

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Q: at the origin.

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Q: Match each of the spherical coordinates r, 0, and ø with each of the following descriptions and give…

A: The spherical coordinates are r,θ and ϕ

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

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A: Given  that,unit vector along the direction of electric field E^ =15i^ -25j^Magnitude of  electric…

Q: Let a = and b = . %3D (a) Find the scalar projection of b onto a. (b) Find the vector projection of…

A: A=(-2,2,1)  ,  B=(-5,-4,3)then,a→=-2L^+2j^+k^…

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Q: A point is located in a polar coordinate system by the coordinates r= 5.8 m and 0 = 28°. Find the x-…

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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: 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: 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…

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Q: Two points in the xy plane have Cartesian coordinates (2.50, -6.00) m and (-4.50, 4.50) m. (a)…

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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: nates of point N. 2) Write the vector KM in terms o

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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: Two points in the xy plane have Cartesian coordinates (5.50, -7.00) m and (-6.50, 6.50) m. (a)…

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Q: Imagine a 3-dimensional world with coordinates that are labeled with x, y, and z, as if you are in a…

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Q: Given E= 1 ar the vector at point (x=1.y=7.z-8) in rectangular form is E = 0,00082156650138745a, 2…

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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: Two points in the xy plane have Cartesian coordinates (3.50, –5.00) m and (-6.50, 6.50) m. (a)…

A: Given: The coordinates of the points are 3.50, -5.00 and-6.50, 6.50

Q: Consider two vectors A= 6.75 i+(-3.53 k) and B= (-4.1j)+1.08 k. Find the angle between these two…

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Q: Draw the following vectors. A= 50 units, 500, B= 100 units, 950, C= 120 units, 1700, D= 150 units,…

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Q: If vector A=2ax+ay+2az and vector B=2ax+ay+2az, the cross product of A and B is a. (0,0,0) b.…

A: A→ = 2ax + ay + 2azB→ = 2ax + ay + 2az

Q: Given a vector (54, 46, 48) and another vector (18, 37, 7) what is the z-component of their sum?

A: Given - Cordinateof vector A =  (54, 46, 48) Cordinateof vector B=  (18, 37, 7)Now vector -A→ = (…

Q: Consider the vectors A=, B=, and C=. (a)Find the angle between A and B. (b)Find the component of A…

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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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