Two vectors, r and s lie in the xy plane. Their magnitudes are 3.46 and 3.57 units, respectively, and their directions are 327° and 56.0°, respectively, as measured counterclockwise from the positive x axis. What are the values of (a) 7 |7 x 7 3 and (b)

Q: If we have two vectors A = 2i + 3j, B = -i + 2j and constant c=3, which one of the following is…

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Q: Vector A has a magnitude of 2.00 m and vector B has a magnitude of 5.00 m. If the direction of each…

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Q: Three vectors are given by å = 3.0î + 3.0j, b = –1.0î – 4.0j + 2.0k, andč = 2.0î + 2.0j + 1.0k.…

A: a→ = 3 i^ + 3 j^ b→ = - 1 i - 4 j^ + 2 k^ c→ = 2 i^ + 2 j^ + k^ (A) b→ × c→ =i^j^k^-1-42221b→ × c→ =…

Q: For the vectors á (3.0 m )î + (4.0 m )j and B = (5.0 m )i + ( – 2.0 m 3, give d + b in (a) unit-…

A: a) a+b = (3i+4j)+(5i-2j) a+b= 8i-2j Magnitude of (a+b) = √(8²+2²) = √68 So unit vector =…

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: B (15.0 m) Ď (10.0 m) |30.0 53.0 25.0° (12.0 m) Å (8.00 m)

A: |A|=8 m|B|=15 m|C|=12 m|D|=10 m Taking the positive x axis as reference the angles are…

Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: A→ = 8 ×(cos45oi^ + Sin45oj^) A→ = 5.65i^ + 5.65j^B→ = -8i^

Q: Vector Å has a magnitude 5.00 and points in a direction 40.0° clockwise from the negative y axis.…

A: Given information: Here A is the magnitude of the vector A and θ is the angle made by the vector A…

Q: Given two vectors A= 4.00i + 7.00j and B= 5.00i - 2.00 j, find the magnitude of each vector?

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Q: We have two vectors A=(57.8, 12.5 degrees) and B=(19.0, 140.3 degrees). What is the x-component of…

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Q: A position vector that belongs to the xy plane is described by the components (x, y) - (-3.00 m,…

A: Cartesian coordinates(X,Y) in polar coordinates are given by X=rcos(theta) Y=r sin(theta) Where r is…

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

A: (given) Polar coordinate of a point is (13.0, 1400) x component of the point in cartesian coordinate…

Q: If B is added to Č = 2.2i + 7.8j, the result is a vector in the positive direction of the y axis,…

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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: Determine the direction with respect to the positive x axis of the vector resulting from the sum of…

A: Given;- the three vectors are. A = 3.00i + 4.00j B = 2.00i - 6.00j   C = -8.00i + 8.00j Find. The…

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 the displacement vectors A = (7.00 i - 2.00 j + 7.00 k) m and B = (8.00 î + 1.00 j - 8.00 k)…

A: (a) 15.0665 m       (15.00) i + (-1.00) j + (-1.00) k (b) 23.345 m        (6) i + (-5) j + (22) k

Q: You are adding two vectors, one has a magnitude of 25 and the other has a magnitude of 10. Which of…

A: Given: Magnitude of a→=25. Magnitude of b→=25.   To find: The resultant vector.

Q: Given two vectors A= 4.00i + 7.00j and B= 5.00i - 2.00j. Find the magnitude of each vector.

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Q: Given two vectors a = 5i + 5j and b = 6i − 4j, find the magnitude and direction with respect to the…

A: Given:Two vectors:a→ = 5 i^ + 5 j^b→ =6 i^ - 4 j^

Q: • Find Ax and Ay for the vector its magnitude and direction given by A = 3.5 m and ©=66°…

A: (a) The values are, Ax = 3.5cos(66) = 1.4m Ay = 3.5sin(66) = 3.18m

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

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Q: For what values of x and y, the vectors = 31+ yj-3 and 6=2xi+2xj-3are equal? A. x = 3, y = 3/2 В.х 3…

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Q: Vectors A and B have magnitudes of 3 units and 4 units, respectively. What is the angle between the…

A: 1. Given : |A| = 3 units |B| = 4 units  A.B = 12

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: vector A⃗A→ has components AxAx = -6.00 and AyAy = -8.00, then the magnitude of A⃗A→ is 14.014.0…

A: x component of vactor A = Ax = -6 unitsy component of vector A = Ay= -8 units

Q: Two vectors have length V1=3.5 km  and V2= 4.0 km.What are the maximum and minimum magnitudes of…

A: The length of the two vectors,

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

A:

Q: Given two displacement vectors in unit vector notation A = 3.50î – 1.50ĵ + 9.25k B = 2.50î + 4.50ĵ –…

A: Given Data: The displacement vector A is given as, A=3.50i^-1.50j^+9.25k^ The displacement vector B…

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: Three vectors A, B, and C have the following components: Ax=5.00, Ay=7.00; Bx=4.00, By=3.00;…

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Q: What is the result of the combination of the component vectors, 92 km/h East and 79 km/h East? a…

A: 3.  v1 = 92 km/h east v2 = 79 km/h east

Q: A point in the xy plane have Cartesian coordinates (3.00, 5.00)m. Calculate the magnitude of the…

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Q: Two vectors are given by  = (5.5 m)i − (4.0 m)j + (1.0 m)k and  = (−1.0 m)i + (1.0 m)j + (5.5 m)k.…

A: Here 2 vectors are given and Arithmetical operations are asked. a = (5.5 m)i − (4.0 m)j + (1.0 m)k b…

Q: What is the magnitude of the resultant of vectors A = 10 units 30 degrees North of East and B = 20…

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Q: Given the displacement vectors A → = ( 3 i ^ − 4 j ^ + 4 k ^ ) m and B → = ( 2 i ^ + 3 j ^ − 7 k ^ )…

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Q: Which of the following displacement vectors has an x component of -15.0 km and a y component of…

A: R=-152+152+0

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: For the displacement vectors i = (3.0 m)î + (4.0 m)ĵ a (-2.0 m)j, give ř, + i, in (a) unit-vector…

A: Givenr1→=3.0 mi^+4.0 mj^r2→=5.0 mi^+-2.0 mj^

Q: A surveyor sights a target at C from points A and B, recording the angles shown. Determine the…

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Q: The three vectors given are ā = 5.0 î+4.0 j-6.0 k b =-2.0 i+2.0 j+3.0 k č = 4.0 î+3.0 j+2.0 k The…

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Q: If two vectors A and B have the values A = 2i + 3j – 4k and B = 3i – 4j + 2k, find the result of A x…

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Q: Given two vectors A= -2.00i + 3.00j +4.00k and B= 3.00i + 1.0oj -3.00k, do the following. (a) Find…

A: solution:

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: Given vectors M = 2i + 6j and N = i + 2j. Calculate the angle that vector C = M – 2N makes with the…

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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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Q: 4. Vectors A and B have magnitudes of 3 units and 4 units, respectively. What is the angle between…

A: The dot product of two vectors is:

Q: What is the sum of the following four vectors in (a) unit-vector notation, and as (b) a magnitude…

A: A→=(2.00m)i^+(3.00m)j^ B→= 4.00 m, at 65.0° = 4 ×[ cos65oi^ + sin65oj^]= 1.69i^ + 3.62j^ m…

Dispersion of White Light

Snell’s law is a formula that gives a relation between the angle of incidence and angle of refraction and is given as: