A vector  A  has components  Ax = −4.00 m  and  Ay = 3.50 m.  Find the magnitude (in m) and the direction (in degrees counterclockwise from the +x-axis) of the vector.

Q: If A = a(3.0i + 4.0j), where a is a constant, determine the value of a that makes A a unit vector.

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Q: If the magnitude of a vector D =76.9 and is directed 29.3 clockwise from the negative x axis, what…

A: Given,  magnitude of vector D=76.9 m, and its making 29.3o angle with -x axis in clockwise direction…

Q: The x component of vector A is 3 units, and its y component is -4 unit The magnitude of A is

A: Given    The x component of vector A is 3 units, and its y component is -4 units. The magnitude of A…

Q: A vector has an x component of -26.0 units and a y component of 40.2 units. Find the magnitude and…

A: Solution:

Q: Question 14 A displacement vector is 23 km in length and directed 65° south of east. What are the…

A:

Q: Displacement vector i points due east and has a magnitude of 3.45 km. Displacement vector 3 points…

A: Answer is uploaded in 2nd step.

Q: A vector A is added to B=61-8j. The resultant vector is in positive x direction and has a magnitude…

A: Given: The vector B is B=6i-8j. The magnitude of vector A and resultant is same that is A.…

Q: The two vectors d and b inthe figure have equal magnitudes of 12.5 m and the angles are e1 = 26° and…

A:

Q: Vector  A has a magnitude of 72 units and  point due west while  Vector  B has the same  magnitude…

A:

Q: A vector A has components A -5.00 m and A, = 9.00 m. Find (a) the magnitude and (b) the direction of…

A: Given data:  x-component of the vector (Ax) = -5.00 m y-component of the vector (Ay) = 9.00 m…

Q: Given four vectors: 3 newtons 20 degrees south of west; 6 newtons 45 degrees north of west; 4…

A:

Q: 2. A runaway dog walks 0.64 m due north. He then runs due west to a hot dog stand. If the magnitude…

A: Given that Displacement towards north OA = 0.64 m Net displacement OB = 0.91 m

Q: Given four vectors: 16 newtons 20 degrees south of east; 25 newtons 45 degrees south of east; 10…

A: Given vectors:A=16 N, 20° south of eastB=25 N, 45° south of eastC=10 N, 65° east of southD=30 N, due…

Q: If vector A=[24, 160degrees] and vector B=[30, 40degrees] then what is the magnitude of 2A+B?

A: The magnitude of 2A+B can be calculated in given steps.Given:

Q: In midtown Monrovia, the street blocks have a uniform size of 80m × 20 m, with the shortest side…

A: The situation is represented in the diagram below. Let the distance walked towards the uptown is…

Q: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 5.0 m and points 30°…

A: Given data The magnitude of the vector A is 8 m. The magnitude of vector B is 5 m and points 30°…

Q: The components of vector A'are given as follows: Ax = 10.5 Ay = 15.2. What is the magnitude of the…

A:

Q: The resultant of three vectors is 90.00 cm 34 degrees North of West. If two of these three vectors…

A: Resultant vector (R→) = 90 cm ( -cos(34o)i^ + sin(34o)j^)= -74.6i^ + 50.32j^ cm Let one of the…

Q: If the x- & y-components of the Sum vector are 5.1 N and -2.5 N, respectively, the magnitude of the…

A: We know that magnitude of vector whose x and y components are a and b respectively is…

Q: The x and y components of a displacement vector are –3.00 m and +4.00 m, respectively. What angle…

A: The x-component of the displacement vector is, sx=-3 m The y-component of the displacement vector…

Q: use the sum by components method to determine the resulting vector of the following vectors: A =…

A: Write the sum of components in horizontal direction.…

Q: Vector A has components Ax = -15.0 and A, -4.01. What is the magnitude of this vector? Find the…

A:

Q: What is the approximate resultant vector of the following component vector? V1 25 cm N and V2 = 15…

A: Given  v1=25cm  v2=15 cm  angle θ=15 with +ve x axis

Q: Since the magnitude of the vector A is 6 units and its direction is north, the magnitude of the…

A:

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 18.0 m and…

A: Given data :  Magnitude of vector = 18.0 m Angle (θ) = 20.0°

Q: the x-direction and the y-direction of the displacement vector are Rx = 0.3 mi and Ry = 0.2 mi, what…

A:

Q: An airplane flies with a displacement vector ř. If the x-component of the plane is 132 km West and…

A: Draw the free-body diagram of the system. Calculate the resultant vector.

Q: A vector  A  has components  Ax = −6.00 m  and  Ay = 8.50 m.  Find the magnitude (in m) and the…

A: Given data *Vector A has horizontal component is Ax = -6.00 m *Vector A has vertical component is Ay…

Q: A vector  A  has components  Ax = −3.00 m  and  Ay = 6.00 m.  Find the magnitude (in m) and the…

A: Given,

Q: A vector A has a magnitude of 15 (in some unspecified units) and makes an angle of 25° with the x…

A: Given, the magnitude of vector A = 15, the angle made with the x-axis, 25° the magnitude of vector B…

Q: An ocean liner leaves New York City and travels 16.2° north of east for 117 km. How far east and how…

A: a) The distance travelled along East direction is    DEast=(117 km)cos16.2o           =112 km

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

A:

Q: What are the components of a vector of magnitude 1.7 m at an angle of 37 degrees from the positive x…

A: Let say we have a vector of magnitude A making angle * with x axis then   x component will be A…

Q: The x-component and the y-component of the vector with a magnitude of 25.0 m and a direction of…

A: The x component of any vector a is,  ax=acosθ The y component of vector a is,  ay=asinθ Here, a is…

Q: Given vectors a=(9,-6) and b=(3,-2) Find the magnitude of the resultant vector: T = 3à +26

A: Given  a=(9,-6) b=(3,-2) r=3a+2b (where r, a and b are vectors)

Q: 1.37 .. (a) Write each vector in Fig. E1.37 in terms of the unit vectors i and j. (b) Use unit…

A:

Q: A vector in the x-y plane has a magnitude of 30 units with an x component of magnitude 15 units. The…

A: Given :  Magnitude of the vector in x-y plane,  A = 30 units Magnitude of x component of the vector,…

Q: What is the magnitude, X (in m2), of the cross product of a vector of magnitude 7.2 m vector…

A:

Q: An airplane flies with a displacement vector R. If the x-component of the plane is 152 km west and…

A:

Q: In the Vector Addition Lab, Anna starts at the classroom door and walks: 2.0 meters, West 12.0…

A: The displacements in either of the directions is given by 2 m in West 12 m in North 31 m in West 8 m…

Q: A vector A has components Ax = −5.50 m and Ay = 4.00 m. Find the magnitude (in m) and the direction…

A: The magnitude of the given vector is,Substitute the values,

Q: A vector has components Ax = −5.00 m and Ay = 9.00 m. Find (a) the magnitude and (b) the direction…

A: Ax = −5.00 m Ay = 9.00 m

Q: find the resultant, magnitude, degree, and direction of the vector by graphing it using the polygon…

A:

Q: What are (a) the x component and (b) the y component of a vector in the xy plane if its direction is…

A: Given: P = 7.3 m  A = 250°

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

A:

Q: Find the magnitude of the vector sum of these two vectors by using components: 65 mm, 55 ∘∘; 70 mm,…

A: We need to calculate the magnitude of the vector sum of the given two vectors using the component…

Scalars and Vectors

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