Two position vectors lie in a plane. The first, the vector rA points at an angle 20 ° below the positive x-axis and has a magnitude of 46.0 m. The second vector, rB, points at an angle of 54.0 ° above the positive x-axis and has a magnitude of 75 m. (to) Select the diagram that correctly represents rA + rB.

Q: A coconut falls freely from the tree until it hits the ground with a speed of 10 meters per second.…

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

Q: Vector A points in the positive y-axis direction. Vector B is directed at an angle of 60.0° below…

A: Vector A points in the positive Y axis ; Vector B directed at an angle 60° below the positive…

Q: You walk 37 m to the north, then turn 61° to your right and walk another 45 m. Determine the…

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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: The figure below shows four position vectors, A, B, C, and D. Their directions are given in the…

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Q: A displacement vector points in a direction of 31 degrees left of the positive y-axis. The magnitude…

A: Given,          A displacement vector points in a direction of 31 degrees left of the positive…

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: The drawing on the left shows two vectors A and B, and the drawing on the right shows their…

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

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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: /8 nponent of the vector A - B. /8 itude of the vector A + B.

A: a vector can be written as A̅ =Ax î +Ay ĵ

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

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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: Consider two vectors are in the x-y plane. Vector a has a magnitude of 5.0 N and is directed along…

A: In general, a vector is defined as follows. A→=Axi^+Ayj^ Let us calculate the x  and ycomponents of…

Q: Vector A is 5.0 cm long and vector B is 4.0 cm long. Find the angle between these two vectors (in…

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Q: A student on a treasure hunt undergoes three displacements in search of the treasure, as shown…

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Q: a.) Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B⃗ has a magnitude of 4.0…

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Q: Three vectors are shown in the figure below, along with an x-y coordinate system. y (m) 34 2- A -5…

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Q: Vector A points to the right and vector B points to the left with a magnitude equal to 2A.  What…

A: Magnitude of vector A is A (to the left) Magnitude of vector B is 2A (to the right)

Q: Two vectors, A and B are defined as follows:   A lies 20° above the x-axis, and has a magnitude of…

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Q: ou walk 68 m to the north, then turn 60° to your right and walk another 45 m. Determine the…

A: let y axis be the north direction and x axis be the east direction,

Q: 109 B 0 x i

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

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

A: (a) Option no --- (1)

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,…

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: Vector A has a magnitude 28 and points to the east. Vector B has a magnitude 19 and points north. a.…

A: Magnitude of vector A = 28 points to east Magnitude of vector B = 19 and points

Q: Three position vectors are shown in the diagram below. Vectors A has a magnitude of 150 m and makes…

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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: A vector has a magnitude of 30 and a direction of 40°. Another vector has a magnitude of 70 and a…

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Q: Vector A is 30° below the x-axis. Vector B is 35° to the right of the negative y-axis.  You will be…

A: The resultant R be defined as the resultant vector. Then R be given as, R2=A2+B2+2ABcosθ

Q: A hiker walks 2.5 miles in a direction 65° West of North, then 3.5 miles in a direction 40° South of…

A: A vector is a physical quantity that has both magnitude and direction. The resultant vector is found…

Q: The three vectors in the figure have magnitudes a = 2.80 m, b = 3.00 m, and c = 10.2 m and angle 8 =…

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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: Vector A⃗  has a magnitude of 9.30 m and is pointing in a direction of 25.0 degrees counterclockwise…

A: A resultant vector is a single vector that represents the combined effect of two or more individual…

Q: Determine the x and y components of the following three vectors in the xy plane. (a) A 6-m…

A: The x and y component of a vector is given by : x=xsinθandy=ycosθ

Q: Two vectors, and 7, are equal: 77. Which of the following statements are true? (Select all that…

A: Given Data: Two vectors r→ and c→  and r→=c→ Vector: In mathematics, objects with both magnitude and…

Scalars and Vectors

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