Given p with magnitude of 40 and a direction of 25°, q with magnitude of 75 and a direction of 270°, and r with magnitude of 30 and a direction of 220°, what is the magnitude of p + q + r? Round to the thousandths place. a 42.379 b 68.926 c 76.232 d 78.509

Q: Vector A is 30° to the left of the negative y-axis. Vector B is 65° above the negative x-axis.…

A: 1. Vector A is to the left of negative y axis make 30° with -y-axis. It has two components.…

Q: Vector A = 4i. Different values for vector B are given below. Which does NOT make an angle of 60…

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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: Given: A = B A = 17.6 0 A = 197.4° B = 8.3 0B 11° (a) Calculate the x-components and y-components of…

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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: Two vectors, T and s lie in the xy plane. Their magnitudes are 4.85 and 4.39 units, respectively,…

A: Given data: The magnitdue of vector r = 4.85. The magnitdue of vector s = 4.39. Direction of r is…

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: For the vectors in the figure, with a = 8.0, b = 6.0, and c = 10 what are (a) the magnitude and (b)…

A: Here all the given as shown in the figure. we have to calculate the magnitude and direction of…

Q: A + B + C = 0 Problem 1: A new landowner has a triangular piece of flat land she wishes to fence.…

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Q: Let B = 4.85 m at 60.0°. C and A have equal magnitudes. The direction angle of Ċ is larger than that…

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Q: Let B = 5.30 m at 60.0°. C and A have equal magnitudes. The direction angle of C is larger than that…

A: Write the expression for the dot product of A and B and substitute the corresponding values.…

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: Given the two vectors A= 20.0  @ 30.0° and B= 17.0  @ 60.0°., What is A + B in unit vector notation?…

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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: Vector C has a magnitude of 28.2 m and points in the -y- direction. Vectors A and B both have…

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Q: gle between the two vectors A = 21 + and Given the vector A = 100m at 36.9 ° above the negative…

A: Given A= 100m θ= 36.9°

Q: The y component of a vector K of magnitude k= 8cm shown in the figure below is K, = +5 cm. What is…

A: The projection of this vector on x axis is given by: k cosθ The projection on the y axis : k sinθ =5…

Q: In the diagram, the dashed lines are parallel to the x axis. The magnitudes of the vectors are A =…

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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: 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: Given the force F2 and the u and v axes. What are the magnitude (in Newton) of the component of this…

A: Given F2=150N And F2 is at angle Φ=30⁰ with negative u-axis. And opposite to F2 angle between u and…

Q: If A = 34 m, B = 34 m, and the magnitude of A + B = 48, which of the following is true? O A and B…

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Q: 4. Two vectors are given as follows: A= -2i + 5j- 4k B- -3i + 47 + 2k What is the magnitude of…

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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: Vector C has a magnitude of 21.0 m and points in the -y-direction. Vectors A and B both have…

A: Given, Vector C→ has a magnitude of 21.0 m and points in the -y direction.  Vectors A→ and B→ both…

Q: Refer to the figure. a = 4, b = 3, and c = 5, what are (a) the magnitude and the direction of å x b,…

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Q: If A = 3i + 3j and B = 7i + 5j, what is the magnitude of C = A - B

A: Write the given vectors below. A=3i^+3j^B=7i^+5j^

Q: Suppose A = (-3.92 m)i + (3.66 m)j, B = (2.56 m)i + (-4.99 m)j + (2.05 m)k, and D = (-3.69 m)i +…

A: The vector A=-3.92i+3.66j. The vector B=2.56i-4.99j+2.05k. The vector D=-3.69i-3.85j.

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: Two vectors, r and s lie in the xy plane. Their magnitudes are 3.41 and 5.16 units, respectively,…

A: Given data: The magnitude of vector r is 3.41 units. The magnitude of vector s is 5.16 units. The…

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: Vector A has a magnitude of 7 and points in the positive x-direction. Vector B has a magnitude of 22…

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Q: The vector A-B is

A: Correct answer is 4th option    9.53i +0.5j Method involves resolution of vectors in their…

Q: Acos = x Asin = y why is it in this problem there is the presence of sin in x and cos in y?…

A: Given, A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a…

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: 7. Given two vectors A= -3.00i + 13.00j + 7.00k and B= 1.00i-10.00j- 6.00k, (a) find the magnitude…

A: The required solution is following

Q: In unit vector notation, å, and åz vectors are given as å, = -3î + 6ĵ + 2k and åz = -2î – 5j + 2k.…

A: Introduction : Angle between two vectors can be found by taking their dot products. Given :…

Q: Which of the following equations would give the y-component of vector W with magnitude of 981N,…

A: Y component of a vector = A sinθ

Q: balloons in the drawing are 48.2 m and 61.0 m above the ground. A person in the left balloon…

A: Given h1 =48.2 m h2 = 61.0 m Angle of elevation  θ =13.3 0   difference in height h = h = h2 - h1  =…

Q: ction m о B = 4.85 m at 60.0°, Ċ and A have equal magnitudes. The direction angle of Ċ is larger…

A: A=Cdirection of C is larger than A by 25 degree.

Scalars and Vectors

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