Consider the displacement vectors A =i +6j (in m), B = 3i –7j (in m), and C = -2j (in m). If aÖbB = 2C , what are the values of a and b?

Q: Given the two displacements D= (6.00î + 3.00ĵ – 1.00R)m E = (4.00î – 5.00ĵ + 8.00k) Find the…

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Q: A particle moves in the xy-plane from x = 5 m, y = 2 m to a new position x = 10 m, y = 8 m. What is…

A: Given data:  Particle moves in the xy-plane Initial position (xi, yi) = (5m, 2m) Final position (xf,…

Q: For the vectors u=i+3j+2k and v=2i−2j+2k calculate  projvu and scalvu

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Q: Find the direction and magnitude of the vectors. (a) A (5.0 m)x + (-2.0 m)y, (b) B (-2.0 m)x + (5.0…

A: A→ = 5x^ - 2y^ m B→ = -2x^ + 5y^

Q: Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following:…

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Q: for vector A=1.00i-2.00j and b=3.00i+4.00 jwhat are the magnitude and direction of vector c= A +B

A: Addition of two vectors A→=axi^+ayj^+azk^ and B→=bxi^+byj^+bzk^ is given by-…

Q: Two vectors are given bya→=3.2î+5.5ĵandb→=3.6î+3.4ĵ. Find (a)|a→×b→|, (b)a→⋅b→, (c)(a→+b→)⋅b→,…

A: The vectors are,

Q: Obtain expressions in component form for the position vectors having the following polar…

A: Given polar co-ordinates : a→r=12.0 m, θ=160°b→r=3.80 cm, θ=80°c→r=24.0 in, θ=202°

Q: For the vectors in the figure, with a = 3.60, b = 2.70, and c = 4.50, calculate (a) a b, (b) a.7,…

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Q: Consider the following 2 vectors: A =3.42 î–6.44ĵ B =2.33 î+4.26} What is the magnitude of Á × B.

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Q: Given the displacement vectors A = (2i + 4j + 4k) m and B = (5i - 2j + 3k) m, findthe magnitudes of…

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Q: For the three vectors shown in the figure, the vector sum D=A + B + C has components Dx = 3 and Dy =…

A: Given data: -  The x component of the vector D is Dx = 3. The y component of the vector D is Dy =…

Q: Given the vectors A=(3,2) and B=(5,5), find: a) The components of vector C=A+B b) The magnitude…

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Q: Given two vectors A = 6i + 9j – 7k and B = –123 – 5k, the magnitude of the vector sum is:

A: Given data:  Two vectors  A = 6i + 9j - 7k B = -12j - 5k Required: The magnitude of the vector sum

Q: The coordinates of a particle in a rectangular coordinate system are (1.0, –4.0, 6.0). What is the…

A: Given ,Rectangular co-ordinates 1,4,6The position vector is given asr=ai∧+bj∧+ck∧where a , b ξc…

Q: Given two vectors a = 4i − 3j and b = 6i + 8j, find the magnitude and directions of a, of b, of a +…

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Q: Obtain expressions in component form for the position vectors having the following polar…

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Q: Given that vectors T = + 2.00x + 6.00y – 4.00z and D = 2.00x – 3.00y – 4.00z The angle between the…

A: Given that Vector T = +2x + 6y - 4z Vector D = 2x - 3y - 4z

Q: Obtain expressions in component form for the position vectors having the following polar…

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Q: what is the resultant magnitude and directions? Given the vectors A= 6i + 9j, B = -9i + 9j, and C=…

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Q: Consider the vectors A=4i+8j and B=30i-12j, If 2A-B+7C=-5i-10j. Find the magnitude of the vector C

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Q: 3. A student adds two displacement vectors with magnitudes of 6.0m and 8.0 m, respectively. Which…

A: To determine: The magnitude and resultant which is not possible from the choice given, for a student…

Q: The magnitudes of the four displacement vectors shown in the drawing are A = 17.0 m, B = 12.0 m, C =…

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Q: Given: u = K-4, -1>, v= , W = , and z = . Based on the components of the given vectors, match the…

A: Given vectors                                     u = -4,-1v = 0,-3w = 1,-1z =4,2 Now we have to…

Q: . Consider the vectors shown. Which is a correct statement about A + B ? A. x-component > 0,…

A: Given data:  Vector A = 8.00 m, towards negative y-axis Vector B = 15.0 m, 30° with positive y-axis…

Q: Here are three vectors in meters: d→1=-6.50î+8.40ĵ+9.60k̂ d→2=-2.00î-4.00ĵ+2.00k̂…

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Q: A particle undergoes three consecutive displacements given by vectors A = (6.5î – 2.3ĵ – 2.0k) mm, B…

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Q: What's the resultant displacement vector C=A+B as a magnitude and direction? Given 2 vectors:…

A: Given: The vectors, A = 4.00i + 7.00j B = 5.00i - 3.00j

Q: Consider the three displacement vectors A (-4î - 3j) m, B (3î - 3j) m, and C (-8î + 5j) m. Use the…

A: Write the given values with suitable variables. A→=-4i^-3j^ mB→=3i^-3j^ mC→=-8i^+5j^ m

Q: The three vectors in the figure have magnitudes a= 3.20 m, b 2.70 m, and c 10.3 m and angle 0=…

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Q: Obtain expressions in component form for the position vectors having the following polar…

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Q: Given the vectors A, B and C. Find the following: A = 3i + 5j − 2k; B = −4i + 2j + 3k ; C = 5i – 8j…

A: We have three vectors that are represented by A→=3i^+5j^-2k^,  B→=-4i^+2j^+3k^  and  C→=5i^-8j-9k^.…

Q: Consider the three displacement vectors A = (4î – 35) m, B = (2î – 5j) m, and C = (-3î + 5j) m. Use…

A: Given : A→=4 i^-3j^   m B→=2 i^-5 j^   m C→=-3 i^+5 j^   m   D→=A→+B→+C→ What we have to find :…

Q: For the following three vectors, what is  3⋅C→⋅(2A→×B→)…

A: (2A X B) can be calculated as follows,

Q: If the velocity vector of a polar bear is u ⃗ = (−18.0i ^ − 13.0j ^ )km/h , how fast and in what…

A: The given velocity vector is of the form

Q: The resultant of two vectors is 20 units long and makes angles of 20o and 50o with the two vectors,…

A: Given, Length of resultant,R=20 units Angle of resultant with vectors,θ1=20°,θ2=50°

Q: A=4i+6j+2k B=-2i-4j+0k find A+B and it's direction

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Q: Obtain expressions in component form for the position vectors having the following polar…

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Q: Two vectors are given by á = 5.4i + 5.6j and b = 4.8i + 2.3). Find (a) a x b, (b)a · b,c)(d + b) .…

A: Given vectors: a→=5.4i^+5.6j^b→=4.8i^+2.3j^

Q: Consider the three displacement vectors: Å = (3î – )m B = (i – j)m Č = (2î – j)m Determine the…

A: Given A̅= (3î - ĵ ) m  B̅ = (î -ĵ) m  C̅ = (2î- ĵ) m

Q: Consider three displacement vectors A = (3x - 3ý) m, B = (- 4y) m,and C = (-2x +5) m. The magnitude…

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Q: Compute the x- and y-components of the vectors vec A vec B , vec C , and overline D in the Figure

A: To determine x-  and y-components of the vectors vec A vec B , vec C , and overline D as shown in…

Q: Given vectors: A = 8.3i + 33 and B = 6.5i + 7.4) Find AXB

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Q: Consider the three displacement vectors A (3i- 35)m, B= (2i- 4)m, and C (-2i + 7j)m. Determine the…

A: A→= 3 i^ - 3 j^B→= 2 i^ - 4 j^C→= -2 i^ -7 j^M→= A→ + B→ +C →M→= (3 + 2 - 2) i^ +(- 3 - 4 + 7) j^M→…

Q: Given the vectors A, B and C. Find the following: A = 3i + 5j - 2k; B = −4i + 2j + 3k ; C = 5i − 8j…

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Q: A (3.60 m) 70.0° 30.0° (2.4 m) (1) Write the vector A and B in terms of unit vectors i and 3. (2)…

A: 1) For vector A→ : A→=3.60Sin70°i^+3.60Cos70°j^   = 3.383 i^+1.231 j^ For vector B→ :…

Q: If the two displacement vectors with magnitudes of 6.0 m and 8m which could not be a possible choice…

A: The resultant of the displacement will lie between the maximum and minimum value of the resultant of…

Q: Given vectors A (0i + 10j – 8k) N and B 3i – 63 + 8k ) N, find the magnitude of - resultant of these…

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