A straight river flows east at a speed of 12 mi/h. A boater starts at the south shore of the river and heads in a direction 60° from the shore (see the figure). The motorboat has a speed of 20 mi/h relative to the water. (Assume that the i vector points east, and the j vector points north.) (a) Express the velocity of the river as a vector in component form. (b) Express the velocity of the motorboat relative to the water as a vector in component form. (Round your answer to two decimal places.)    (c) Find the true velocity of the motorboat. (Round your answer to two decimal places.)    (d) Find the true speed of the motorboat. (Round your answer to one decimal place.)  Find the direction of the motorboat. (Round your answer to one decimal place.)

Q: Three displacement vectors of a croquet ball are shown in Figure, where |A| = 20.0 units, |B| = 40.0…

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Q: For the displacement vectors a = (3.0 m)i + (4.0 m)j and b= (5.0 m)i + (-2.0 m)j , Give b-a (a) in…

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Q: if three vectors with magnitude 30, 40, 50 are added together, which of the following cannot…

A: Given : Three vectors with magnitude 30, 40, 50

Q: Given two vectors A= 4.00i + 7.00j and B= 5.00i - 2.00j. Find the magnitude of each vector. (2 pts.)…

A: (1)  The first vector is given by- A=4.00 i+7.00j Here a1=4.00 and a2=7.00 Hence magnitude of A…

Q: 1. Vicky walks 8 km East, then 5 km South and finally 6 km West. Find her resultant displacement. 2.…

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Q: Given the displacement vectors A = (7.00 î – 2.00 ĵ + 7.00 k) m and B = (8.00 î + 1.00 ĵ – 8.00 k)…

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Q: Write the final magnitude and direction of the resultant vector. Include a properly labeled diagram…

A: solution as

Q: A is along the +X-axis and vector Bis along the +y-axis. Which one of the following statements is…

A: According to question we need to find that which statement is correct.

Q: A snake crawls 10 m in a direction 30o north of east. What is the direction of the greatest…

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Q: The figure shows three displacement vectors A B , and C .These vectors are arranged in tail-to- head…

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Q: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.0°…

A: We will first break the vectors into the component in the perpendicular axes. We split them in the X…

Q: Vector A is 9 m, 60.0o North of East and Vector B is 3 m 30.0o West of North. What is the resultant…

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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^

Q: A displacement vector is 21 km in length and is directed 60 degrees S of E. Which of the following…

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Q: Two vectors, of magnitude 30 and 60 respectively, are added. Which one of the following choices is a…

A: The magnitude of the 1st vector is R1 = 60 units The magnitude of 2nd vector is R2 = 30 units

Q: Suppose you first walk A = 11.0 m in a direction 0, = 23° west of north and then B = 24.5 m in a…

A: first leg of walk (A) = 11 m @23o west of north Second leg of walk (B) = 24.5 m@45o south of west

Q: Express the vector F= 10.00 m/s, 35.00 degree North of East to component form, while converting to…

A: Given  F= 10.00 m/sec  35.00 degree north of east  So  F--> =??

Q: A and B vectors S. may be defined to be equal if they have the same magnitude and point in the…

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Q: Find the resultant vector using: Vector A= 20 km, 30° N of E Vector B= 15 km. 20° W of S Vector C=…

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Q: vector A are: Ax = 5.1 m and Ay= -5 m and the components of B are: Bx= -2.6 m and Ay = -4.3 m. What…

A: This question is based on resultant of vectors.

Q: under what circumstances would a vector have components that are equal in magnitude?

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Q: 3. Given : Vector A = "No. of letters of your First Name" units @ N 75° E Vector B = "No. of letters…

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Q: B (15.0 m) D (10.0 m) 30.0 53.0 25.00 Č (12.0 m) A (8.00 m) ne X component of the vector D shown in…

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Q: The route followed by a hiker consists of three displacement vectors A, B, and C. Vector A is along…

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Q: For which of the following vectors is the magnitude of the vector equal to one of the components of…

A: Given:- three vector   A→ = 2i + 5j  B→ = -3jC →= +5k Find:- For which of the following vectors is…

Q: Four displacement vectors of a croquet ball are shown in Figure, where A = 20.0 units, B = 40.0…

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Q: When vector is added to vector B, which has a magnitude of 5.0, the vector representing their sum is…

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Q: Addition of Vectors. Vector A has a magnitude of 3 units directed 30° south of east while Vector B…

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Q: What's the resultant displacement vector C=A+B as a magnitude and direction? Given 2 vectors:…

A: Given: The vectors, A = 4.00i + 7.00j B = 5.00i - 3.00j

Q: Given two vectors = 3.00 + 5.00 and = -7.00-3.00. (a) Give the x- and y-components of each vector…

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Q: vector A⃗A→ has components AxAx = -6.00 and AyAy = -8.00, then the magnitude of A⃗A→ is 14.014.0…

A: x component of vactor A = Ax = -6 unitsy component of vector A = Ay= -8 units

Q: Consider the three displacement vectors shown in the figure: Vector→AA→has a magnitude of 8.30 km…

A: The vector A is in the second quadrant since it is 24o to the left of positive y axis. Write the…

Q: Find the resultant vectors. 1. A 10 M, NORTH = B = 20 M, NORTH 2. C= 15 M, WEST D = 20 M, WEST 3.…

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Q: If a vector v has a magnitude 10.0 and makes an angle of 30° with the positive y-axis, find the…

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Q: What is the magnitude of the resultant of vectors A = 10 units 30 degrees North of East and B = 20…

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Q: What is the magnitude of the resultant of vectors A = 10 units 30 degrees North of East and B = 20…

A: We are allowed to give the explanation of first question only which is given below.  Please repost…

Q: For the displacement vectors i = (3.0 m)î + (4.0 m)ĵ a (-2.0 m)j, give ř, + i, in (a) unit-vector…

A: Givenr1→=3.0 mi^+4.0 mj^r2→=5.0 mi^+-2.0 mj^

Q: Vector A has a magnitude of 142 units and points 32.0° north of west. Vector B points 67.0° east of…

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Q: Given vectors a=(5,3) and b=(-1,-2) Find the x-component of the resultant vector: T = 2 a + 36

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

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

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Q: A runaway dog walks 0.64 km due north. He then runs due west to a hot dog stand. If the magnitude of…

A: Dog run north =0.64km Total displacement vector =0.91km

Q: ulate the y-component of the acceleration vector a1, which has a magnitude of 26 m/s2 and has an…

A: The rate of change of velocity is called acceleration.  It is a vector quantity.

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Q: Given Five vectors whose lengths and dirction – senses are as follows: Aa is 1.5 inch long and 90…

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Q: if a is 35.0 meters 47 degrees of south of east and b is 19.5 meters north, what is the magnitude…

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Scalars and Vectors

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