Consider the following vectors: A = 5.2j;  B = -4.1i + 2.5j.  Draw a diagram showing the addition of vectors A and B. (a) Find A + B in the Cartesian (x and y component) form. (b) Find the magnitude of A + B. (c) Find the direction of A + B, expressed as a polar angle.

Q: Vector R is definedas the vector sum of vectors A andD(?⃗= ?+ ?⃗⃗)shownbelow. What are the vector…

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Q: You have two vectors. One has a magnitude of 3.9 cm and an angle of 57.4 degrees while the other has…

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Q: Assume you have the following two vectors: A 14i+ 15.5j + 13k B = 1.3i+ 7.5j - 1.9k Part (a) What is…

A: We will calculate the cross product with the help of determinants

Q: What is the angle between vector Å = 5i + 2j + 9k with z-axis? 80° 45.80 30.9° 61.5°

A: angel between A→ = 5i^ + 2j^ + 9K^ and z - axis. The formula to find the angle between vector and…

Q: Given two vectors A = -11.3 i + 4.71 j, B = 2.38 i - 12.97 j, find the angle (in degrees) that the…

A: Solution:-

Q: 5. Consider two vectors: A which has a magnitude of 28.0 m and points in a direction 15.0° above the…

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Q: Vector A has magnitude 11 m and points 30° north of east. Vector B has magnitude 6 m and points 30°…

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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: Ax= 3.80 m, Ay= -1.30 m Ax= 3.70 m, Ay= 1.30 m Ax= -4.20 m, Ay= 1.20 m Ax= -3.60 m , Ay= -1.80 m…

A: The problem is asking us to find the angle that the vector A makes with the +x-axis. This angle is…

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

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Q: The three vectors in the figure have magnitudes a = 3.10 m, b = 2.80 m, and c = 10.3 m and angle 0 =…

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Q: Consider the vector 7.2I - 4.6j, where i points horizontally to the right and j vertically upwards,…

A: Given The vector is given as A→=7.2i^-4.6j^   We have to find the magnitude of the vector and the…

Q: Given a= 2i+j, b = i-4j+k and c=j+k, (where i, j and k are unit vectors in x,y and z directions…

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Q: Consider the two vectors, A = 17.5x + 10.5y B = 3.1x - 3.5y a)What is the magnitude of the vector A…

A: Given,  A= 17.5 x + 10.5 y B= 3.1 x - 3.5 y We need to calculate,  a)What is the magnitude of the…

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

A: Given value--- C = 23.4 m. alpha = 42.9 degree.  beta = 28.7 degree. We have to find--- magnitude…

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: 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: The magnitude of vector ?⃗ is 8.6. Vector lies in the fourth quadrant and forms an angle of 37 ̊…

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Q: positive x-axis. What direction (as an angle counterclockwise from the positive x-axis in degrees)…

A: Here, we have seen there are two vectros like,

Q: Vector V₁ has a magnitude of 3.47 and points along the positive x-axis. 1 Vector V₂ has a magnitude…

A: The objective of the question is to find the magnitude of the vector sum of two vectors V1 and V2.…

Q: y (north) (5.0 m) x (еast) 30° A (15.0 m) For the two vectors shown on x-y axes in the figure, what…

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Q: Consider the two vectors, A=17x+11.5y, B=4.5x-3.5y. What is the angle of the vector A-B, measured…

A: Vector A-B can be found out using A-B = (17-4.5)x +(11.5-(-3.5))y  A-B = (12.5)x+(15)y

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: Create vectors a = (20, 45°), and b = (10, 270°), and c = (8, 160°). Calculate the vector you would…

A: a = (20,45°)  b= (10,270°)  c= (8,160°)

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: tor lies in the fo

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

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Q: Vectors A and B are shown in the figure. Vector C is given by B - A.The magnitude of vector A is…

A: Magnitude of vector A→ is A=18 units Magnitude of vector B→ is B=10 units Vector  A→ makes an angle…

Q: 109 B 0 x i

A: Given: Displacement vectors A has magnitude of 3.7 m, making 22 degrees with horizontal.…

Q: 3.26 - The figure shows vectors A and B. Find D = 4A + B. y A 15° 2 m 15° 4 m x B

A: According to the given data from the figure 3.26 Two vector A and B are given We need to find vector…

Q: What is the x-component of vector E? Suppose E = 2A+ 3B where vector A has components A, = 5, Ay = 2…

A: Given: E→ = 2A→ + 3B→Ax = 5 , Ay =2Bx = -3 , By=-5

Q: Given two vectors a=3.2i-3.4j and b=6.7i+8.9j find the magnitude of the vector a+b, find the…

A: Given value--- a=3.2i-3.4j b=6.7i+8.9j We have to find---  find the direction of the vector a+b,…

Scalars and Vectors

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