A hiker starts at his camp and moves the following distances while exploring his surroundings: 75.0 m north, 2.50 × 102 m east, 125 m at an angle 30.0° north of east, and1.50 × 102 m south. (a) Find his resultant displacement from camp. (Take east as the positive x-direction and north as the positive y-direction.) (b) Would changes in the order in which the hiker makes the given displacements alter his final position? Explain.

Q: What are the (a) x and (b) y components of the vector that must be added to the following three…

A:

Q: Use the component method of vector addition to add the resultant of the following vectors. A: 11 km…

A:

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: 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: Vector A has a magnitude of 23 units and points in the positive y-direction. When vector B is added…

A: A→+B→=-1523+B→=-15B→=-15-23=-38 unit

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

A: The force F1=3N acts at θ1=20° south of west The force F2=6N acts at θ2=45° north of west The force…

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

A:

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: 6. Consider two vectors pointing at different directions. The first vector has a length of 5.2 cm…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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

A:

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

A:

Q: A vector  A  has components  Ax = −4.00 m  and  Ay = 3.50 m.  Find the magnitude (in m) and the…

A: Given:X-component of the vector, Ax = −4.00 mY-component of the vector, Ay = 3.50 m

Q: If F1, stands for a force vector of magnitude 30.0 N and F2 stands for a force vector of magnitude…

A: The magnitude of resultant force vector of two force vectors F1 and F2 , is calculated using cosine…

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

A:

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

A:

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: at an angle of 0°. Meanwhile, the second vector is 6.7 cm long and is directed at an angle of 240°.…

A:

Q: Two vectors in polar coordinates (R, θ) are given by
 V1 = (5.0, 125°) and V2 = (4.0, 260°). Find…

A:

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

A: Given value--- F1= 25 newtons 50 degrees north of east. F2 = 16 newtons 75 degrees south of east.…

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

A:

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

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: In a 2-dimensional Cartesian system, the x-component of a vector is known, and the angle between…

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: 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: 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: 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: 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: What is the direction of the resultant vector from +x-axis counter clockwise of vectors A = 2.0 m,…

A: Given Data: Vector A length, A=2 m & inclination angle, θA=35° Vector B length, B=5 m &…

Q: Using a scale drawing to find the magnitude and direction of: a) the vector sum A + B; b) the vector…

A: Above question can be written and represented as  A= 7 m along west = -7i^ B= 20 m along 37o North…

Q: A person starts walking from home and walks: 3 miles East 4 miles Southeast 6 miles South 7 miles…

A:

Q: A vector A has a magnitude of 7 units and points in the -y-direction, while a vector B has double…

A:

Q: Given 3 vectors: Vector 1 is 500N at 300, Vector 2 is 300N at 1500 and Vector 3 is 400N at 2700,…

A: Given: Magnitude of Vector 1 = 500 N , Angle of Vector 1 = 30o Magnitude of Vector 2 = 200 N , Angle…

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…

A:

Q: If vector B is added to vector A, under what condition does the resultant vector have magnitude A +…

A: The sum of two or more vectors is called the resultant. The resultant of two vectors can be found…

Q: If vector A has a magnitude of 36.0 m in the x direction and vector B has a magnitude of 17.0 m in…

A: Given  A=36 i m B=17j 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: Vector A is 2.00 units in length and points along the positive x axis. Vector B is 7.00 units in…

A: Given The vector B in the negative y axis is By=-7 unit. The vector A in the negative x axis is…

Scalars and Vectors

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