A family goes on a beach by travelling 20 km north and proceeds 35 km in a direction 60 west of north. Find the magnitude and direction of the family’s resultant displacement. Also, express the resultant displacement in terms of unit vectors.

Q: The magnitudes of two vectors A → a n d B → are 12 units and 8 units, respectively. What are the…

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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: The x component of vector A is 3 units, and its y component is -4 unit The magnitude of A is

A: Given    The x component of vector A is 3 units, and its y component is -4 units. The magnitude of A…

Q: Find the resultant vector of two vectors head to tail 3 meters south and 4 meters east a. 7 meters…

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Q: The magnitude of the resultant of two vectors is equal to the difference of the magnitudes. Which of…

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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: Vectors A→A→ and B→B→ both have a magnitude of 8. If their resultant has a magnitude of 10, what is…

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Q: a.) The magnitude of the force vector b.) The X component of the force vector

A: A) Analyze the following figure. The given vector can be represented as, Here, Fx, Fy, and F…

Q: Suppose you have three vectors: A⃗=−3i^+6j^ B⃗=2i^−4j^ C⃗=4i^+3j^ What is the magnitude of vector…

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Q: If a vector  has components Ax = -4 and Ay = -3, then  lies in the ______________. a. 2nd quadrant…

A: We need to tell where this given vector lies (which quadrant).

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: Using component method, find the resultant vector of the following: a. 3m (North) and 10m (West) b.…

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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: If vector A=[24, 160degrees] and vector B=[30, 40degrees] then what is the magnitude of 2A+B?

A: The magnitude of 2A+B can be calculated in given steps.Given:

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: Estimate the magnitude and direction of the resultant given the following vectors. A = 10 steps,…

A: We have two vector A = 10 steps, due East B = 16 steps, 60° South of East

Q: under what circumstances would a vector have components that are equal in magnitude?

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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: Given four vectors: 25 newtons 50 degrees north of east; 16 newtons 75 degrees south of east; 10…

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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: 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: If the x- & y-components of the Sum vector are 5.1 N and -2.5 N, respectively, the magnitude of the…

A: We know that magnitude of vector whose x and y components are a and b respectively is…

Q: Consider the three displacement vectors shown in the figure: Vector A→ has a magnitude of 8.40 km…

A: The vectors can be resolved along x and y axis. For vector A, it is shown below:

Q: For which of the following vectors is the magnitude of the vector equal to one of the components of…

A: Given:- three vector   A→ = 2i + 5j  B→ = -3jC →= +5k Find:- For which of the following vectors is…

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 components Ax = -15.0 and A, -4.01. What is the magnitude of this vector? Find the…

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Q: If one of the two components of a vector is not zero, can the magnitude of the other vector…

A: The magnitude of a vector R in terms of its components Rx and Ry is  Then, magnitude of the both…

Q: Given two vectors = 3.00 + 5.00 and = -7.00-3.00. (a) Give the x- and y-components of each vector…

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Q: Three displacement vectors of a croquet ball are shown in the figure, where IAI - 16.0 units, B| -…

A: a) The required resultant vector is, b) The required magnitude of the resultant vector is,

Q: Find the resultant vectors. 1. A 10 M, NORTH = B = 20 M, NORTH 2. C= 15 M, WEST D = 20 M, WEST 3.…

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Q: What is the direction of the resultant vector from +x-axis counter clockwise of vectors A = 2.0 m,…

A: Given Data: Vector A length, A=2 m & inclination angle, θA=35° Vector B length, B=5 m &…

Q: If vector B is added to vector i, the result is 6i + j. If B is subtracted from A, the result is -4i…

A: The solution can be given as follows :-

Q: The vector that has components of both positive and negative signs must lie in which quadrant of the…

A: Given- The vector that has components of both positive and negative signs must lie in which quadrant…

Q: Given vectors a=(10,-9) and b=(0,-5) Find the magnitude of the resultant vector: T = 3 a + 26

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Q: The x-component and the y-component of the vector with a magnitude of 25.0 m and a direction of…

A: The x component of any vector a is,  ax=acosθ The y component of vector a is,  ay=asinθ Here, a is…

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: Vector A points to the north and has length A. Vector B points to the east and has length B = 2.0A.…

A: Vector A points to the north and has length A. Vector B points to the east and has length B = 2.0A.…

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: 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 ff vectors : A = 5 km, East ; B = 8 Km west ;C = 7 km, south ;D = 4 km, north ; E = 9 km,…

A: We have given the five vectors  is given as  A→= 5i^ km  &    C→= -7 j^ km B→= -8i^ km  &…

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: The baseball diamond is a square with sides 27.4m (90 ft) long. If the positive x axis points from…

A: Given data The parameter of the square is given as a = 27.4 m. The initial point for the baseball…

Q: Given Five vectors whose lengths and dirction – senses are as follows: Aa is 1.5 inch long and 90…

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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.