Vectors A and B are perpendicular and have the same nonzero magnitude (A = B). If C = A + B, what is C, the magnitude of C?

Q: If A and B are two vectors, and B =-2A, so vector B has

A: A  and B are two vectors .... And B = -2A

Q: Given two vectors A= 4.00i + 7.00j and B= 5.00i - 2.00j. Find the magnitude of each vector. (2 pts.)…

A: (1)  The first vector is given by- A=4.00 i+7.00j Here a1=4.00 and a2=7.00 Hence magnitude of A…

Q: Two vectors, r and s lie in the xy plane. Their magnitudes are 3.46 and 3.57 units, respectively,…

A: Two vectors can be multiplied in two ways, as a scalar product and as a vector product. In a scalar…

Q: Given the displacement vectors A = (7.00 î – 2.00 ĵ + 7.00 k) m and B = (8.00 î + 1.00 ĵ – 8.00 k)…

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Q: Solve for the magnitude of the resultant and the direction cosines of the following cartesian…

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Q: 15m, 45 degrees + 5m, 315 degrees + 10m, 240 degrees

A: A vector can be written as A̅ =Ax î +Ay ĵ

Q: Two vectors,r→ands→lie in the xy plane. Their magnitudes are 4.86 and 4.06 units, respectively, and…

A: (a)       Vector notation of r is,

Q: Given the following vector components of vectors C and D: Cx = 7.40, Cy = 4.60,  Dx = 6.20, Dy =…

A: Let

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: A and B vectors S. may be defined to be equal if they have the same magnitude and point in the…

A: TWO VECTORS WILL BE EQUAL IF  1-There magnitude are equal, same length 2- there plane and direction…

Q: Two vectors are given by a = 3.3i + 4.1j and b = 6.6i + 5.5j. Find the component of (a) along the…

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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: 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: Vector A is 2.80 cm long and is 60.0 degrees above the x-axis in the first quadrant. Vector B is…

A: Given data The length of the vector A is lA = 2.80 cm. The angle made by the vector A with the…

Q: Given vectors a=(4,8) and b=(-3,0) Find the magnitude of the resultant vector: T = 2 a + 36

A: Represent the vectors a and b in their resolved component.

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: Vector A has a magnitude 6 units and is in the direction of the +x axis. Vector B has magnitude 4…

A: The value of vector A is A→=6 i^ , while vector B has both vertical and horizontal components ,…

Q: 2 vectors A & B have magnitudes 3.5 and 5.6 units and are perpendicular to each other. Which of the…

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Q: if A=12i-16j and B=24+10j what is the magnitude of the vector C=2A-B?

A: Vector C C→=2A-B=212i^-16j^-24i^+10j^=0i^-42j^

Q: What are the x- and y-components of the vector which has a magnitude 4.5 and points 150 west of…

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Q: Vector C has a magnitude of 24.6 m and points in the -y-direction. Vectors A and B both have…

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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: An ocean liner leaves New York City and travels 16.2° north of east for 117 km. How far east and how…

A: a) The distance travelled along East direction is    DEast=(117 km)cos16.2o           =112 km

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 16.0 m and…

A: The x component and y component of the vector is ,

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: Given vectors a=(9,-6) and b=(3,-2) Find the magnitude of the resultant vector: T = 3à +26

A: Given  a=(9,-6) b=(3,-2) r=3a+2b (where r, a and b are vectors)

Q: A vector has magnitude 12.7. Rounding off, which pair of components could not produce this vector? O…

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Q: Two vectors, 10 and 15 units long, make 60o with each other. Find the magnitude and direction of…

A: Side A A=10sin60∘A=1032A=53 Side B B=10 cos60∘+15B=5+15B=20

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: Given three vectors; A = 5m West, B = 8m East and an unknown vector C which lies along the x- axis.…

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Q: Vectors Aand Bhave equal magnitudes of 5.00. If the sum of Aand Bis the vector 6.00j, determine the…

A: Given Information: The magnitude of the vector A and B is “5.00” Given that the resultant vector of…

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

A: We are allowed to give the explanation of first question only which is given below.  Please repost…

Q: Given the vectors Ā = (-2î + ĵ) m and B = (4î – j) m: The magnitude of the resultant vector R = 2Ã +…

A: Given data: Vector A is, A→=(-2i^+j^) m. Vector B is, B→=(4i^-j^) m

Q: The figure shows four vectors, A, B, C , and D , having magnitudes 10.0 m, 8.00 m, 6.00 m, and 2.00…

A: The magnitude of vector A is, The magnitude of vector B is, The magnitude of vector C is, The…

Q: 1. Vector A = 1.00 i +-2.00 jand vector B-3.00 +4.00. What are the magnitude and i direction of…

A: Given:A→ =1 i^ - 2 j^B→ =1 i^ - 2 j^Solution:C→ = A→ + B→Applying values we get:C→ =1 i^ - 2 j^ + 1…

Q: Vector A, which is shown in the figure, has a magnitude of 10 and a direction angle of 60°. What is…

A: Given data:  Magnitude of vector A = 10 m Angle = 60° Required: The magnitude and direction angle of…

Q: Two vectors A→ and  B→ are at right angles to each other. The magnitude of  A→ is 1.00. What should…

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Q: Given three vectors A = 24i + 33j, B = 55i - 12j and C = 2i + 43j  (a) Find the magnitude of each…

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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: If vector A=[15, 80 degrees] and vector B= 12i - 16j, then what is the magnitude of A-B?

A: Given:

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: For the vectors a→=(3.0⁢m)î+(4.0⁢m)ĵ and b→=(5.0⁢m)î+(-2.0⁢m)ĵ, give a→+b→ in (a) unit-vector…

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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: If A is 35.0 meters 47° S of E and B is 19.5 meters north, what is the magnitude and direction of…

A: Given:  A = 35 m due 47 degree S of E B  = 19.5 m due north

Q: if a is 35.0 meters 47 degrees of south of east and b is 19.5 meters north, what is the magnitude…

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Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.