Two vectors, 10 and 15 units long, make 60o with each other. Find the magnitude and direction of their resultant with respect to the longer vector.

Q: For the following vector r =3i -10j , find the direction

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Q: Solve for the magnitude of Å • B , and the magnitude and direction of B x Å of the following…

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

A: The magnitude of sum of two vectors is,  C=A2+B2+2ABcosθ Here, θ is angle between vectors A and B.

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

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Q: Convert these vectors to scale: Vector A= 20 km, 30° N of E Vector B 15 km, 20° W of S Vector C= 25…

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Q: Can the magnitude of a vector ever (a) equal, or (b) be less than, one of its components?

A: Magnitude of a vector

Q: If two vectors have the same magnitude, do their components have to be the same?

A: Two vectors of same magnitude

Q: The  x component of vector   is 9 units, and its  y component is 5.5 units. The magnitude of   is…

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Q: Two vectors, of magnitude 30 and 60 respectively, are added. Which one of the following choices is a…

A: The magnitude of the 1st vector is R1 = 60 units The magnitude of 2nd vector is R2 = 30 units

Q: Let vector E = (9 i + 7 j) and vector F = (7 i - 10 j). Find the magnitude of E. Find the…

A: E→ = 9i^ + 7j^F→ = 7i^ - 10j^

Q: If a 2i + 9j - k and b-3i - 6j + 22k, what is the magnitude of vector a?

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Q: If a ball has a vertical component of 3cm and a horizontal component of 4cm. What is the magnitude…

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Q: If the +x- and +y-axes point to East and North respectively, what is A = 500. N 65.0° West of North…

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Q: What is the magnitude of the resultant of these vectors 100 N due south and 100 N 30° north of west

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Q: Suppose that à = 2i + j, B =i– 4j + k, and Ĉ = j+,k• What is the magnitude of the vector 2A – B + Ć…

A: Given Data:- The vectors are given as  A→=2i^+j^ B→=i^-4j^+k^ C→=j^+k^ Required:- We need to…

Q: A = 2i + j, B = i– 4j + k, and Ĉ = j+k. ... What is the magnitude of the vector - 2Ả – B + Č?

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Q: Suppose that À = 2i + j, B = i- 4j + k, and Ĉ = j+k. What is the magnitude of the vector 2Ã – B + Ĉ;…

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Q: Suppose that À = 2i + j, B = i– 4j + k, and Ĉ = j+k. ... What is the direction of vector A?

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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: If direction of a displacement vector (d31m) is 25° east of north then its horizontal component will…

A: Given: The displacement is 1 m. The direction is 25 degrees East of North.

Q: Find the magnitude of vector

A: A= 4i+7j B=5i-2j+k c=-i+3j+2k

Q: Vector Á has a magnitude of 5.00 units, and vector B has a magnitude of 9.00 units. The two vectors…

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Q: Find the magnitude of the x- and y- components of the given vectors. a. A= 29.8 m, 86.50 NW b. B= 9…

A: a) Vector A = 29.8 m @86.50 NW

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 A has a magnitude of 12. When it makes an angle of 30° with the +x axis. What is its y…

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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: Given vector A with a magnitude of 70 m and a direction of 30° with respect to the positive x-axis…

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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: 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: er A 2i +3j Which of the following is a unit vector in the direction of A?

A: Given that:A→=2i^ + 3j^ To determine the unit vector along A→

Q: A 4 B The sum of vectors A and B is

A: Given data:  The vector A and B Required: Sum of the vector A and B

Q: To find the resultant of several vectors, it is necessary to find the

A: Given statement is To find the resultant of several vector ,it is necessary to find?

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: 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: The following force vectors act on an objeet: i) 50.0 newtons at 45.0° north of east and ii) 25.0…

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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: If a = 2i + 4 j-k and b-3i- 6j + 2k, what is the magnitude of vector a?

A: a→= 2i^ + 4j^ - k^b→ = 3i^ - 6j^ + 2k^

Q: If a = 2i + 9j - k %3D and b 3i- 6j + 12k, what is the magnitude of vector a?

A: a = 2i+9j-k b = 3i-6j+12k we have to find magnitude of vector a

Q: If a car travels 259 m east and then 431 m to the north, with what angle does the final displacement…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Ch 2 1) If a vector A = 2 i + 3ỹ, then the direction of 3A is a. 56.30 b. 65.3° c. 45.3° d. 90°

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Q: Determine the equivalent directions for the given vectors. a. 35° N of E b. 20° W of S c. S 40° E…

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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: Determine the magnitudes of vectors  and  so that their resultant is a horizontal vector of…

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Q: Find the resultant of the given vectors: A=100km,30'degree E of N B=200km,30'degree S of E C=150km,W

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Q: A girl walks 20m South, then 16m West. What is the magnitude and direction of the resultant vector?

A: The displacements are in perpendicular direction. Let the north, south, west and east directions be…

Q: Find the direction of vector A=-29i+53j counterclockwise from the positive x axis.

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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.