Given the vectors A = 2.00i + 6.00j and B = 3.00i 2.00j, (a) draw the vector sum C = A + B and the vector difference D = A – B. (b) Calculate C and D, first in terms of unit vectors and then in terms of polar coordi- nates, with angles measured with respect to the + x axis. %3D

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A: The objective of the question is to find the value of vector s given that the sum of vectors v, w,…

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A: Given:a = 2.0 i^ + 5.0 j^ ................eq(1)b = 3.0 i^ + 9.0 j^ ................eq(2)

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A: Given value--- Two vectors are given by A = 3 î + 6 ĵ and B = -1 î + ĵ.  We have to find--- Find…

Q: A. Give the vectors M = -10åx + 4ãy-8å, and vectors N = 8å, + 7ãy-2ãz, find the following: %3D 1. a…

A: Solution: A.3 Given vectors are: M=-10ax^+4a^y-8a^zN=8a^x+7a^y-2a^z,|M|=102+42+-82     =180…

Q: Find the following quantities for A⃗ and B⃗ A⃗ = −12mˆi + 4.0mˆj + 1.5mˆk B⃗ = 2.8Nˆi − 21Nˆk (a) A⃗…

A: Given, A = −12mˆi + 4.0mˆj + 1.5mˆk B = 2.8Nˆi − 21Nˆk

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A: The two vectors are, Required:-The angle between the two vectors.

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

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A: Given, Initial velocity u=9 m/s Deceleration, a=-1.5ms2 he decelerates for time, t=6 s After the…

Q: Given two vectors A = - 2.00 + 3.00ĵ + 4.00 k and B = 3.00 î+ 1.00 – 3.00 k, (a) find the magnitude…

A: We have to calculate the magnitude of each vector. Given Data, A→=-2.0 i^+3.0 j^+4.0 k^B→=3.0 i^+1.0…

Q: What angle OB, where 0° < OB < 360°, does B make with the +x-axis? Express your answer in degrees.

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Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

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Q: (a) Write each of the following vectors in component form: A y 3 m/s x 2) 250 5m x 60º 7 m B (ii)…

A: Step 1: Step 2:

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Q: Two vectors are given by d = 7.0f + 2.6 and b = 5.41 +9.7). Find (a) d x b (b) d b d + b) %3D and…

A: Given:a→ = 7.0 i^ +2.6 j^ b→ = 5.4 i^ + 9.7 j^

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A: Here the given angle is 90°

Q: Find the angle between vector a and b if a 21 +j- k and b 3i - 6j + 2k

A: a→ = 2i^ + j^ - k^b→ = 3i^ - 6j^ + 2k^

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A:

Q: Problem 1: Suppose A (-3.03 m)i + (4.35 m)j, B = (2.71 m)i + (-4.29 m)j + (2.99 m)k, and D = (-2.48…

A: Determine the magnitude of the given vectors as follows. A=-3.03 m2+4.35 m2=5.30 mB=2.71 m2+-4.29…

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A: a = (20,45°)  b= (10,270°)  c= (8,160°)

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Q: Find angle between two unit vectors A and B. A = 10i-3j-15k; B = 13i-5j+3k

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

Q: Vector math in physics G12. Let vector B have magnitude 5m and direction 60 degrees measured…

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

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A: Given:- A = 5i + -8 J  B = 12 i +18 j  Find;- The Dot product  A.B

Q: given the vector v=i+2j+k what is the angle between v and the xaxis

A: v→ = i^ + 2j^ + k^ Magnitude of vector v = (1)2 + (2)2 + (1)2= 1+4+1= 2.45

Q: Two vectors Á and B have precisely equal mag- nitudes. For the magnitude of A + B to be 100 times…

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Q: Vector A = (8, 4, -5) and Vector B = (-2, 3, 0). Find the angle between these two vectors.

A: Vector A=(8, 4, -5)Vector B= (-2, 3, 0)

Q: Given A = 5.00i + 4.00j, B = 3.00j - 7.00k. Find the vector C = 2A - B %3D O + 4i – 10j – 7k O- 10j…

A: Given: A=5.00i+4.00j  B=3.00j-7.00k  To Find: C=2A-B