the professor asks to find the vector D=A+B-C, where vector A has a magnitude of 8.29 units and points east, vector B has a magnitude of 4.96 units and points north, and vector C has a magnitude of 3.28 units and points southwest. What is the magnitude of vector D?

Q: The vector A has a unit magnitude and is directed to the north, and the vector B has a magnitude of…

A: The head-to-tail method is used in the graphical addition of vectors. That is the second vector is…

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

A: solution as

Q: Vector V⃗ 1V→1 is 6.4 units long and points along the negative x axis. Vector V⃗ 2V→2 is 9.0 units…

A: Given: The vector V1 is 6.4 units long along -the x-axis. The vector V2is 9 units long at 60o with a…

Q: Consider two vectors pointing at.different directions. The first vector has a length of 7.3 cm…

A: Given data: The length of first vector, l1=7.3 cm. The angle of the first vector, θ1=0°. The length…

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: You are on a treasure hunt and your map says "Walk due west for 86.1 paces, then walk 50.0 ° north…

A:

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 has a magnitude of 8 units and makes an angle of 45⁰ with the positive x-axis. Vector B…

A:

Q: The x- and y-components of a vector are: vx = 2.0 m/s, vy = -6.0 m/s.  Find the magnitude of the…

A: Given: horizontal x component of velocity vx=2.0 m/s. vertical y component of velocity vy=-6.0 m/s.

Q: A = 15m due West from one office to another in a company, a man travels as follows: B = 25 m. 53°…

A: A = 15 m, due west B = 25m, 53 degrees east of north C = 20 m due east

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: Given: The vector A has a magnitude of 29 units and points in the positive y direction. When vector…

A:

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

A:

Q: Two displacement vectors when added produce a resultant vector of magnitude 50.0 km pointing 60.00…

A:

Q: Consider two vectors pointing at different directions. The first vector has a length of 7.3 cm…

A:

Q: A vector  A  has components  Ax = −6.50 m  and  Ay = 8.50 m.  Find the magnitude (in m) and the…

A: (a) Magnitude of A is 10.7m.

Q: Vector A has magnitude 31 and direction 174°. Vector B has magnitude 43 and direction 270°. Find…

A: Given, Vector A has magnitude 31 and direction 174°. Vector B has magnitude 43 and direction 270° We…

Q: Given four vectors: 25 newtons 50 degrees north of east; 16 newtons 75 degrees south of east; 10…

A:

Q: Vector A : Magnitude: 1.569 N Angle: 0 degrees x-component : 1.569 N y-component : 0 N…

A: Given data The magnitude of vector A is given as A→=1.569 N. The angle between the horizontal axis…

Q: Add the following component vectors and determine the resultant. (You might want to draw them).…

A:

Q: In the figure, which of the indicated methods for combining the x and y components of vector a are…

A: The vectors are always represented by arrows. The length of the arrow shows that the magnitude of…

Q: Vector A = 6.0 m and points 30° north of east. Vector B= 4.0 m and points 30° west of south. The…

A: Given: The vector A is 6 m 30o north of east. The vector B is 4 m 30o west of south. The diagram of…

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 a magnitude of 8.00 units and makes an angle of 45.0 ∘ with the positive x-axis. Vector…

A:

Q: Vector A has a magnitude of 6 units, vector B has a magnitude of 7 units, A dot B has a value of 14.…

A: Given data The magnitude of vector A is given as A=6 units. The magnitude of the vector B is given…

Q: Vector A has a magnitude 6 units and is in the direction of the +x axis. Vector B has magnitude 4…

A: The value of vector A is A→=6 i^ , while vector B has both vertical and horizontal components ,…

Q: What would be the the  x component of the resultant vector if I add two vectors one with a magnitude…

A:

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

A:

Q: Vector a→a→  has a magnitude of 25 units and makes +20° with the +x-axis. Vector b→b→  has a…

A: We resolve the given vector in component form, a→=25 unitsθ=20oax→=a→cosθ=25cos20o=23.49…

Q: Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length…

A:

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: Three displacement vectors of a croquet ball are shown in the figure, where IAI - 16.0 units, B| -…

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

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: Vector A→ has a magnitude of 16.0 units, vector B→ has a magnitude of 25.0 units, and A→⋅B→ has a…

A: Given data *Vector A has magnitude is A=16.0 units *Vector B has magnitude is B=25.0 units *The…

Q: Given four vectors: 25 newtons 50 degrees north of east; 16 newtons 75 degrees south of east; 10…

A: Given: A=25 N (50 N of E)B=16N (75 S of E)C=10 N (35 E of N)D=30N (S)

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

A: Given Data : The magnitude of the vector A→=12 units The magnitude of the vector B→=35 units The…

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: Displacement vector  A→A→ is directed to the west and has magnitude 2.76 km. A second displacement…

A:

Q: In the sum A→+B→=C→, vector A→ has a magnitude of 13.4 m and is angled 44.9° counterclockwise from…

A:

Q: Vector D is in the direction 34.0 deg clockwise from the -y-axis. The x- component of Vector D is…

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: The baseball diamond is a square with sides 27.4m (90 ft) long. If the positive x axis points from…

A: Given data The parameter of the square is given as a = 27.4 m. The initial point for the baseball…

Q: What is the unit-vector notation for each of the following vectors, all with magnitudes of 50.0? (a)…

A:

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

Scalars and Vectors

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