If the velocity vector of a polar bear is u ⃗ = (−18.0i ^ − 13.0j ^ )km/h , how fast and in what geographic direction is it heading? Here, i ^ and j ^ are directions to geographic east and north, respectively.

Q: 2 m 2 m 4 m 3 m F= 630 N 4 m B

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Q: в (15.0 m) D (10.0 m) 30.0 53.0 25.0 Č(12.0 m) Ä (8.00 m)

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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: What is the direction of the resultant of vector A moving 21 km/hr, north and vector B heading 12…

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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: Calculate the magnitude and direction of the vector:        A = 5i + 7j

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Q: Three vectors A, B, and C have the following components: 3.52 4.38 -2.63 -1.43 C 7.80 -8.75 The…

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Q: Consider the vector v→=0.5t8ı^−13t2ȷ^. Using this vector, evaluate the derivative of the magnitude…

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Q: In the Projectile experiment, the projectile was fired horizontally with an initial velocity (Vo)…

A: Required : Slope of the graph

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: If A is a vector representing 100 km/h W15°S, what is - A? 5 A. 60 km/h N 15°E B. 60 km/h S 75°W C.…

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Q: What is the x-component of a vector with a magnitude of 135 m, 42° South of east? O 54.89 m, North…

A: x component of a vector  Ax   = A Cosθ  where  θ is angle from x axis counterclockwise.

Q: Given the following three force vectors in terms of their magnitude and directions, find the…

A: Please see the answer below.

Q: The x- and y-directions of the rectangular coordinate system are to be translated into the…

A: The vector H can be written in the form of vector F and vector G as H =Mf F + MgG So, by putting the…

Q: Represent the given vectors using the indicated scale. 1. A= 55 N, North 2. B= 20 km/h, South 3. C=…

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Q: If the +x- and +y-axes point to East and North respectively, what is A = 500. N 65.0° West of North…

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Q: Two vectors are given by d = 7.0f + 2.6 and b = 5.41 +9.7). Find (a) d x b (b) d b d + b) %3D and…

A: Given:a→ = 7.0 i^ +2.6 j^ b→ = 5.4 i^ + 9.7 j^

Q: Given two vectors a = 5i + 4j and b = 6i – 3j, find the magnitude and direction with respect to the…

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Q: The given vector represents a hot air balloon that experiences a 0.25 m/s? acceleration at an angle…

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Q: Find the horizontal component of the vector: 140 km/h on a heading of 035 degrees. O 140 O 144.7…

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Q: Consider the following vectors as described below: À= 8.00 m S B = 15.0 m 30° E of N Č = 12.0 m 25°…

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Q: Given two vectors a = 4i − 3j and b = 6i + 8j, find the magnitude and directions of a, of b, of a +…

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Q: A sailboat under auxilary power is proceeding in the direction N 25° W at 6 (25° West of North)…

A: direction of sail boat = 25 degree of west of north  it means it make 25 degree from vertical of the…

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

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Q: A car goes east at 90 km/h for 0.75 hours, and then turns on a road heading 30° north of east at 88…

A: Given data The speed of the car in the east direction is vOA = 90 km/h The duration of the car…

Q: What is the resultant vector of two vectors where one has a magnitude of 5 cm pointing 60° N of E…

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Q: Given two vectors a = 5i + 5j and b = 6i − 4j, find the magnitude and direction with respect to the…

A: Given:Two vectors:a→ = 5 i^ + 5 j^b→ =6 i^ - 4 j^

Q: If the magnitude of a velocity vector is 7.0 m/s and the x-component is 3.0 m/s, what is the…

A: Given information:Magnitude of velocity vector (|V|) = 7 m/sMagnitude of x-component (|Vx|) = 3…

Q: Vector   has a magnitude of 6.0 m and points 30° south of east.

A: In this question we are given that a vector say A has a magnitude of 6 m and points 30o south of…

Q: Consider the two vectors, A = -3.1i + -2.07j and B = -1.06i + -4.59j. (a)What is the magnitude of C…

A: Write the sum of vectors A and B

Q: Given that vectors T = + 2.00x + 6.00y – 4.00z and     D = 2.00x – 3.00y – 4.00z…

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Q: Calculate the magnitude of vector B if it has x, y, and z components of 4, 6, and 3 units,…

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Q: What is the resultant of vector A=2i +2j, and vector B=li -2j Select one: a. V26 b. 2 С. 3.5 d. V5…

A: Vector A=2i→+2j → Vector B=1i→-2j→

Q: If a = 2i + 13 j – k and b = 3i – 6j + 2k, what is the magnitude of vector a?

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Q: The x component of vector A is 6.0 units, and its y component is 7.5 units. The magnitude of A is…

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Q: What is the x-component of a vector with a magnitude of 73 cm, 41° South of east? O 54.89 m, North O…

A: Given value--- Vector A = 73 cm , 41 degree South of east. We have to find --- x component of A.

Q: Suppose two vectors A and B of magnitude 3 and 4 units are placed tail to tail with an angle of 60 °…

A: Given data: The magnitude of vector A is A=3. The magnitude of vector B is B=4. The angle between…

Q: A=4i+6j+2k B=-2i-4j+0k find A+B and it's direction

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Q: Two vectors are given by á = 5.4i + 5.6j and b = 4.8i + 2.3). Find (a) a x b, (b)a · b,c)(d + b) .…

A: Given vectors: a→=5.4i^+5.6j^b→=4.8i^+2.3j^

Q: If a = 2i + 9j - k %3D and b 3i- 6j + 12k, what is the magnitude of vector a?

A: a = 2i+9j-k b = 3i-6j+12k we have to find magnitude of vector a

Q: A paper plane is traveling with the following velocity: (2.5i + 3.2j + 3.2k) m/s What unit vector…

A: The velocity of the paper plane: v→ = (2.5i^ + 3.2j^ + 3.2k^) m/s .

Q: From the quantities given, please select all that would be categorized as vectors. 20 m/s; south 10…

A: vector quantity A vector quantity has both direction and magnitudes.  Scalar quantity: A quantity…

Q: If a = 2i + 6 j - k and b 3i - 6j + 2k, what is the magnitude of vector a?

A: Given:- a= 2i + 6j - k b= 3i - 6j + 2k Magnitude of a vector (v= ai+bj+ck) is given by:- |v|= √(a2 +…

Q: For the pair of vectors, find U + V, U − V, and 4U + 2V. U = −9i + 9j, V = 9i + 9j

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Q: Given vectors A (0i + 10j – 8k) N and B 3i – 63 + 8k ) N, find the magnitude of - resultant of these…

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Q: Directions: Write scalar or vector quant on the Howing 1. has only magnitude and its completely…

A: Solution: To find whether the given quantity is scalar or vector

Q: (Vectors) Given two vectors a = 5i + 4j and b = 6i – 3j, find the magnitude and direction with…

A: a→ = 5i^ + 4j^ b→ = 6i^ - 3j^

Scalars and Vectors

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