Consider the two vectors, A = -3.1i + -2.07j and B = -1.06i + -4.59j. (a)What is the magnitude of C = A + B?  (b)What is the direction of C = A + B expressed in degrees above to the negative x axis? Make sure your answer is positive.  (c)What is the magnitude of D = A - B?  (d)What is the direction of D = A - B expressed in degrees below the negative x axis? Make sure your answer is positive.

Q: Let v = -5i+5j be a vector. Find a unit vector that points in the same direction as v and give…

A: The objective of the question is to find a unit vector that points in the same direction as the…

Q: A vector, V, has a magnitude of 3.60m and points at an angle of 27.0° to the left of the y- axis.…

A: Given:           magnitude of vector v= 3.6m            angle ,                       θ=270

Q: Two position vectors lie in a plane. The first, vector rA, points at an angle of 20° below the…

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Q: You are given 3 vectors: p = j - 3k, q = -2i - j - 3k and r = 4i + j + 3k. You are informed that…

A:

Q: y (m) Problem 2: (2 points) Vectors à and C are shown in the figure. Vector Ở is given by ở = Ā – B.…

A: given that C→=A→-B→ we can also rearrange it as :- B→=A→-C→ angle between A and C θ=30+52=820…

Q: The x- and y-components of a vector are: vx = 2.0 m/s, vy = -6.0 m/s.  Find the magnitude of the…

A: Given: horizontal x component of velocity vx=2.0 m/s. vertical y component of velocity vy=-6.0 m/s.

Q: Two vectors, A and B, have magnitudes of 5.40 units and 9.81 units, respectively. The angle between…

A: Ans; 35.102 unit2 Explanation:Step 1:

Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

Q: Three force vectors, F1, F2 and F3, have magnitudes of 8N, 12 N and 15 N respectively. The angles…

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Q: Vector A S has magnitude 8.00 m and is in the xy-plane at an angle of 127 counterclockwise from the…

A: Let α and β denote the angles made by A and B counter-clockwise from the positive x-axis. Let i and…

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

A:

Q: If the vector A = I – 2j and the vector B = 4i – 5j , what angle does A + B form with the x-axis?

A:

Q: Determine the angles made by the vector V = -15i + 52j with the positive x- and y-axes. Write the…

A:

Q: Determine the angles made by the vector V = -60i + 44j with the positive x- and y-axes. Write the…

A:

Q: Two vectors, A and B, have magnitudes of 4.70 units and 9.36 units, respectively. The angle between…

A: The scalar product between two vectors is given by,

Q: Consider two vectors A = 3î – 2ĵ and B = –î – 4j. a) Calculate A + B. b) Calculate the magnitude of…

A:

Q: (3.3 m )î + (3.6 m )ĵ and b = (- 11.0 m )i+(6,9m (a) In unit-vector notation, what is the sum of a…

A: Given that:a→=(3.3m)i^+(3.6m)j^b→=(-11m)i^+(6.9m)j^IT is required to find the sum of (a→+b→), the…

Q: What is the angle between the directions of vector A = 3.00i + 1.00j and vector B = -3.00i + 3.00j?

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Q: The magnitude of A is 5.5. Vector A lies in the second quadrant and forms an angle of 34 degrees…

A:

Q: Two vectors, A and B, have magnitudes of 4.70 units and 9.81 units, respectively. The angle between…

A:

Q: Vector CC has a magnitude of 23.423.4 m and points in the −?‑−y‑direction. Vectors AA and BB both…

A: Given vector C which has magnitude is 23.4 m and direction in negative y axes Vector A makes angle…

Q: The figure shows four vectors, A, B, C, and D, having magnitudes 8.0 m, 15.0 m, 12.0 m, and 4.0 m,…

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Q: Consider the following vectors: A = 5.2j;  B = -4.1i + 2.5j.  Draw a diagram showing the addition of…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: The vector sum of four displacement vectors is 500 km, 30° W of N. Three of the four displacement…

A: FIRST WE FIND EACH VECTOR IN TERMS OF RECTANGULAR COMPONENTS

Q: A= 2.00î + 6.00ĵ and B d= A+ B Given the vectors 3.00 î – 2.00j, and the vector difference D= A – B.…

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Q: Vector CC has a magnitude of 22.222.2 m and points in the −?‑−y‑direction. Vectors AA and BB both…

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Q: F5+F6+F7= -0.117i + 0.059j   what would be the polar coordinates of this vector.

A:

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 = 1.00i - 2.00j and vector B = -3.00i + 5.00j. Calculate the magnitude and direction of…

A: Given Vectors,             A = 1i - 2j                                             B = -3i+5jFind:…

Q: Find a vector of magnitude 3 in the direction of v = 6i – 8k. The vector is i+ () · (| k. +

A: Given: The magnitude of the vector is 3. The direction of the vector is along 6i-8k.

Q: What unit vector is in the same direction as v = 2i - 4j?

A: The vector is given as v→=2i-4j

Scalars and Vectors

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