You watch an ant crawl around on a piece of paper. The paper is 10.0 inches from top to bottom and 9.60 inches across. When you first look, the ant is at the top of the paper, in the middle of the page. It crawls around finally leaving the paper at the bottom right corner of the paper. Using a coordinate system with the origin at the center of the paper, the +x+x direction pointing to the right, and the +y+y direction point to the top of the page, what angle does the line from the origin to the ant's initial location make with the horizontal? Multiple choice:

Q: A vector A has the following components, Ax = 5.1 cm; Ay = 2.9 cm. What is the magnitude of this %3D…

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Q: If three vectors A= 9.8 , B= 13 and C= 3 are making angles θA= 56o ,θB = 138o and θC = 208o with…

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Q: Vector A has magnitude of 8 m and vector B has magnitude of 7.8 m. If the angle between the two…

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Q: The two vectors á and b in the figure have equal magnitudes of 14.6 m and the angles are e, = 30°…

A: θb=180°-θ1+θ2=180°-30°+106°=44°

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: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: A→ = 8 ×(cos45oi^ + Sin45oj^) A→ = 5.65i^ + 5.65j^B→ = -8i^

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Q: Consider two vectors A and B as shown in the figure below. The magnitude of these two vectors are: A…

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Q: A man jogs due east for a distance of 1.42 miles, turns around and goes due west for 3.06 miles, and…

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Q: For the three vectors shown in the figure, the vector sum D=A + B + C has components Dx = 3 and Dy =…

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Q: 4 A -2 4 -2 Consider the two vectors, A and B, in the figure. The x and y components of both vectors…

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Q: QUESTION 1 A= 2.27 î+ 5.41 + 9.45 j + = ? Input answer using 3 significant figures 11.1 QUESTION 2…

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Q: Question 1/13 The angle (in degree) between vector A= 10i+3j-4k and vector B= i-5j+6k is 1. O 150.8…

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A: Since, a⇀⊥b⇀×a⇀ Then, The value of, a⇀=7.9b⇀=5.1ψ=23.0°

Q: At one point in space, the direction of the electric field vector is given in the Cartesian system…

A: Given  that,unit vector along the direction of electric field E^ =15i^ -25j^Magnitude of  electric…

Q: Consider the following two vectors:U = 1.3i + 2.2j + 4.1k V = -5.5i - 6.5j + 11.3k What is the…

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Q: A farmer wants to fence off his four-sided plot of flat land. He measures three sides, shown as A,…

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Q: In the polar coordinate system, r is the distance from any point to the point having Cartesian…

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Q: 52. A vector makes an angle 0 with the horizontal. The horizontal and vertical components of the…

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

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Q: Salim walk six miles in a straight line in a direction north of east, and he end up two miles east…

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Q: A wall clock has a minute hand with a length of 0.51 m and an hour hand with a length of 0.27 m.…

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A: Given:-  Three displacement vectors have a magnitude as  A=2.70 km B = 5.30 km  and C = 4.40 km…

Q: The angle (in degree) between vector A= 3i+3j-4k and vector B=i-5j+6k is 1. O161.2 2. O141.6 3.…

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Q: Into which quadrant do each of the following vectors point? A Quadrant II 90°<0く180° Quadrant I 0"…

A: Questions based on vectors and quadrant system

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Q: Two points in the xy plane have Cartesian coordinates (2.50, -6.00) m and (-4.50, 4.50) m. (a)…

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Q: Three displacement vectors of a croquet ball are shown in the figure, where |A| = 12.0 units, |B| =…

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Q: The two vectors a→ and b→ in the figure have equal magnitudes of 10.2 m and the angles are θ1 = 30°…

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for…

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

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Q: (6.00 m )î – (4.50 m )ĵ and B (9.00 Jî + (12.0 m )j. What are (a) the magnitude and Here are two…

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Q: Magnitude & Direction 8.6m @ 51.46ragel y-component 7.00 m Vector x-component 5.00 m -2.10 4.99 9.00…

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Q: 8.1 You draw a coordinate system with +ˆx pointing to the bottom of the pageand +ˆz pointing to the…

A: 8.1

Q: 4. A vector A has component Ax = 12 m and Ay =5 m. What is the angle that vector A makes with the Y…

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Q: The two vectors a→ and b→ in the figure have equal magnitudes of 14.6 m and the angles are θ1 = 30°…

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Q: Calculate the angle of vector B that makes each coordinate axis if it has x, y, and z components of…

A: Given value--- it has x, y, and z components of 4, 6, and 3 units. We have to find--- Calculate…

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Q: Consider three vectors A,B and C all lying in the æ y plane. Vector A has length 6.2 and makes an…

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Q: 4. Vectors A and B have magnitudes of 3 units and 4 units, respectively. What is the angle between…

A: The dot product of two vectors is: