What is the magnitude of the two vetors: A: 4.00 i + 7.00 j and B: 5.00 i - 2.00 j ?  What is the expression for A-B? What is the magnitude and direction of A-B? Vector diagram show A, b and A-B, and agrees with the the previous question?

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: Which of the following is the equilibriant of the velocity equivalent to 50kph, 40 degrees S of W?…

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Q: Consider the two vectors A i- 3j and B -i-2j. (a) Calculate A + B i+ (b) Calculate A- BE i+ (c)…

A: Given,  Here two vectors are given, vector A and vector B. Based on that, we have to answer (a),…

Q: 11. Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and…

A: A→ = 2i^ + 6j^B→ = 3i^ - 2j^

Q: A ball is kicked from the origin at an angle 0 = 30 ° with an initial speed v = 26 m/s. Calculate…

A: Given:- The initial velocity of the ball is v =26  m/s  with an angle of θ= 30° Find:- The x and y…

Q: Given the vectors: Ã = 100 gm @ 25° B = 200 gm @ 115° C = 175 gm @ 220° Find R = Ã+ B +Č. Vectors…

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Q: The initial velocity of a car, v⃗i, is 45 km/h in the positive x direction. The final velocity of…

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Q: A = 6i + 2j - 3k B = 3i - j - 2k C = -i + j - 4k D = j - 3k E = -i + 2k F = -5k G = 2i H =…

A: For two vectors to be perpendicular to each other, their dot product must be zero.

Q: You walk 62 m to the north, then you turn 60° to your right and walk another 45 m. Determine the…

A: ...

Q: Consider three displacement vectors A* = (3x - 3ý ) m, B* = ( – 4ỹ ) m,and C* = (-2x + 5ý ) m. The…

A: The displacement vectors are given as A→=3x^-3y^ mB→=x^-4y^ mC→=-2x^+5y^ m

Q: You walk 53 m to the north, then turn 60° to your right (that is 60° from the South to North axis…

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Q: Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 23 km in a direction…

A: As per the question:

Q: A woman stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of…

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Q: At time 1 = 0 the position vectors of two particles A and B are (5i + 20j) m and (–10i – 5j) m…

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Q: ball is kicked from the origin at an angle θθ = 30 ∘∘ with an initial speed v = 14 m/sm/s. Calculate…

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Q: A plane is heading due North at a velocity of 150 m/s, while flying through a crosswind blowing due…

A: As per the question, the velocity of the plane in the direction of the north is 150m/s, the velocity…

Q: B = -i - 4j and 47. For vectors A = -3 i – 2j, calculate (a) A + B and its magnitude and direction…

A: a) The required magnitude and direction of the resultant vector is,

Q: Batman’s missile is launched at a velocity of 20 m/s in a direction making an angle of 25° upward…

A: Given, Initial velocity, u=20 m/s Angle with ground, θ=25°

Q: 2. Find the dot product of two vectors A=4i+3j and B =5i-2). 3. A sailor in a small boat encounters…

A: Given, A = 4i+3j B = 5i-2j

Q: Consider the two vectors A^ = 2i^ - 2j^ and B^ = i^ - 5j^ Calculate a.) A^ + B^ b.) A^ + B^ c.) |A^…

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Q: The xx-component of a velocity vector that has an angle of 31 ∘∘ to the +xx-axis has a magnitude of…

A: a) The required magnitude of the velocity,

Q: Which of the following is equal to the magnitude of the position vector r of a particle? Select the…

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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: How was the approximation of -.71 and .71 calculated?

A: The magnitude of vector V=(-3,3) can be calculated as follows,

Q: l path given by the vector function r(t) =〈150cost, 150sint, 100t〉 where r is measured in feet and t…

A: We know that we have given here  rt = 150cost,150sint,100t where r is measured in feet and t is…

Q: 1. Given two vectors A = 70 m 60° N of E and B =35 m 30° S of E. Determine their resultant…

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Q: Two vectors are given as follows: A -3i + 6j – 5k; B = -2i . What is the magnitude of the sum of the…

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Q: Can a vector have zero magnitude and a nonzero component? If no, why not? If yes, give an example.

A: The magnitude of a vector is the square root of the sum of the squares of the components of the…

Q: Could you kindly solve this and let me know the answer?

A: The expression of the resultant vector is,

Q: What is the difference (A - B) of the following vectors? Show your solution A = 3i+5j - 2k and B =…

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Q: You are in a hot-air balloon that, relative to the ground, has a velocity of 4.84 m/s in a direction…

A: Here, we calculate the given as follow;

Q: A motorcycle stunt rider rides off the edge of a cliff. Just at the edge his velocity is horizontal,…

A: Given data: Initial velocity (V0) = 7.53 m/s, horizontally Time (t) = 0.615 s Required: Magnitude of…

Q: Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction…

A: Given, Position of oasis B from oasis A, d=8 i km, i represents east Displacements of camel, d1=20…

Q: An archer standing on a 15-degree slope fires an arrow at an angle of 20.0 degrees above the…

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Q: A migrating salmon heads in the direction N 45° E swimming 5 mi/hr relative to the water. The ocean…

A: The free body diagram is shown below: The velocity of the salmon relative to the water is as…

Q: 11. Consider two vectors; A = 2.00i + 6.00j and B = 3.00i – 2.00j Calculate the magnitude and…

A: A→=2 i^ + 6 j^B→ = 3 i^ - 2 j^ (a)  A→ +B→ =2 i^ + 6 j^ + 3 i^ - 2 j^ = 5 i^ + 4 j^ The magnitude is…

Q: 91. Distances between points in a plane do not change when a coordinate system is rotated. In other…

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Q: 1) When representing a velocity vector,  A. The length of the arrow represents the speed of the…

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

Q: Given two vectors that starts from the origin: A = 2i – 7j and B = I – 3j – 5k. What is the length…

A: Given,  OA = 2i - 7 j  OB = i - 3 j - 5 k  As we know, from the rule of vector addition and…

Q: A= 2i + i. B=i- 4i +k. and C=i+k.

A: If we need to measure direction of given vector A= Axi + Ayj above x axis  direction theta =…

Q: A clay target is shot from a gun with an initial speed u = 55.6 m/s at an angle 0 = 46.4° above the…

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Q: 50. The magnitudes of two vectors A and B are 20 m and 5 m, respectively. What is the greatest…

A: Given data The magnitude of vector A is given as A=20 m. The magnitude of vector B is given as B=5…

Q: %3D What is the magnitude of 4A if vector A = (6 i - 8 j) m? 40 m O 20 m 10 m 30 m

A: Given: Vector A=(6 i - 8 j) m   To determine the magnitude of vector 4A.

Q: Two vectors appear as in the figure. Which combination points directly downward? Circle the correct…

A: Both the vectors point upwards which may result in directly upwards. So, both the vectors must be…

Q: 47. For vectors B = -i – 4j and Á = -3i – 2j. calculate (a) A + B and its magnitude and direction…

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Q: You are standing on the ground at the origin of a coordinate system. An airplane flies over you with…

A: Given : h = 7.60 x 103 m At time t = 0, P0 = 7.60 × 103 j m At t = 30.0 s, P30 = (8.04 × 103 i +…

Q: Oasis B is 9.0 km due east of oasis A. Starting from oasis A, a camel walks 20 km ina direction…

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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.