Vector A = 1.00i - 2.00j and vector B = -3.00i + 5.00j. Calculate the magnitude and direction of vector C if vector C = A - B.

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: Vector A has magnitude of 8 m and vector B has magnitude of 7.8 m. If the angle between the two…

A: Given data, Magnitude of vector A = 8 m Magnitude of vector B = 7.8 m Angle between vector A and B =…

Q: The vector (3, 45°) is equal to (1.83, 2.83) in rectangular coordinate O (1.83, 1.83) in rectangular…

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Q: Write the final magnitude and direction of the resultant vector. Include a properly labeled diagram…

A: solution as

Q: The components of a vector B>satisfy Bx 7 0 and By 6 0.Is the direction angle of B>between 0°…

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Q: The two vectors d and b inthe figure have equal magnitudes of 12.5 m and the angles are e1 = 26° and…

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Q: The vector A⃗ has a magnitude of 6.0 m and makes an angle of 60 degrees above the positive x-axis.…

A: Given,

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: What are the x and y components of a vector of magnitude 100 making an angle of 45? with the…

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

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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: A vector is given by its components x 2.5 m and y =7.5m. What angle does the vector make with the…

A: Given: x-component of a vector, Ax=2.5 m y-component of a vector, Ay =7.5 m   To determine angle…

Q: A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o…

A: (1) 27.0 cm, due west; (2) 23.0 cm, 35o south of west; (3) 28.0 cm, 55o south of east, and (4) 35.0…

Q: 19 A vector A has a magnitude of 3 ur direction of the following vectors? C (a) A+ B magnitude un…

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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: Determine the magnitude of the vector sum V = V, + V½ and the angle 0g which V makes with the…

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Q: Vector A has a magnitude of 13.0 m at an angle of 22.6. What are the components of the vector?…

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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: Vector B has magnitude 7.20 and direction 14.0° below the +x-axis. Vector C has x-component Cy=-2.10…

A: Vector addition and subtraction can be done directly by taking common i^ and j^ Vector inclination…

Q: Find the component and/or resultant vectors. 62 m/s Vx = Angle 0 = Vx 85 m/s V V = 11.1 m/s Angle 0…

A: The component vector Vx=hyp2-adj2=85 m/s2-62 m/s2=58.1 m/s≈58 m/s

Q: If d is just a number, for what value of d is the vector A=2i+2j+4k perpendicular to the vector  B=…

A: When the vectors are perpendicular, then their dot product will be zero.…

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: A vector ?⃗ = (−1.2 m)?̂+ (1.8 m)?̂. Find the magnitude and angle (between 0° and 360°, measured…

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Q: When vector is added to vector B, which has a magnitude of 5.0, the vector representing their sum is…

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Q: 1. Using the following vectors, find the magnitude and direction of the resultant vector. A =…

A: Given value--- three vector. We have to find--- magnitude and direction of the resultant vector?

Q: For vectors B = -2î – 8j and A = -6î – 4j, calculate the following. (a) Á + B (Express your answer…

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Q: If the angle between the vector A and the positive x-axis is 40°. What is the x component of the…

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Q: The vector B has components Bx -2.10 m and By = -1.70 m. Find the direction angle, for this vector?

A: Given: B→=Bx→+By→=-2.10 i^-1.70 j^ m

Q: Which of the following could not be the magnitude of the vector sum of a 25-meter displacement…

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Q: a. vx = 20 m/s , vy = 36 m/s . Find the vector's magnitude and direction.   c. ax = 3.0 m/s2 , ay…

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Q: What are the components of a vector of magnitude 1.7 m at an angle of 37 degrees from the positive x…

A: Let say we have a vector of magnitude A making angle * with x axis then   x component will be A…

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: 1.37 .. (a) Write each vector in Fig. E1.37 in terms of the unit vectors i and j. (b) Use unit…

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Q: what would be the polar coordinates of this vector? 0.265i + 0.223j

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Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 20.0 m and…

A: Given information:Magnitude of the vector (r) = 20.0 mInclination of the vector (θ) = 20.00

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 20.0 m and…

A: Given Data: The magnitude is given as, A=20 m The angle is given as, θ=38°   Draw the diagram…

Q: Vector C has a magnitude of 22.2 m and points in the –y- direction. Vectors A and B both have…

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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: What is the magnitude of a vector v = (-181– 12j)m/s?

A: A two dimensional vector is represented as, A = Ax i + Ay j  where, A = given vector Ax = component…

Q: What is the magnitude of a vector that makes an angle of 42° to the horizontal and whose y…

A: Given  Angle made by vector from horizontal  @ = 42°  Y component of vector Ay = 5 units  To find…

Q: Find the direction of the vector sum of these two vectors by using components: 65 mm, 55 ∘∘; 70 mm,…

A: The component form of a vector is the coordinate form in which vector can be broken in to…

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

A: Given:

Q: For the vectors and shown, find the magnitude and direction of (a) the vector sum + (b) the vector…

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Q: If a vector →A→ has the following components, use trigonometry to find its magnitude and the…

A: Introduction: Vector is the quantity which depends on direction as well as magnitude. Whereas,…

Q: Vector C has a magnitude of 23.4 m and points in the -y- direction. Vectors A and B both have…

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Q: Calculate (a) the x-component and (b) the y-component of the vector with magnitude 24.0 m and…

A: Given data:  Magnitude of a vector (A) = 24.0 m Direction (θ) = 56.0° Required: The x-component and…

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…

Q: Find the magnitude of the vector sum of these two vectors by using components: 65 mm, 55 ∘∘; 70 mm,…

A: We need to calculate the magnitude of the vector sum of the given two vectors using the component…

Scalars and Vectors

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