A bug starts at point A, crawls 8.0 cm east, then 5.0 cm south, 3.0 cm west, and 4.0 cm north to point B. （a) How far north and east is B from A? (b) Find the displacement from A to B both graphically and algebraically.

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: Three displacement vectors have lengths 1 m, 2 m, and 4 m. Could they possibly add together to get a…

A:

Q: If d1= 3m, 60 degrees east of north, d2= 4m, 45 degrees SW and d3= 6m, 30 degrees NW, what is the…

A: given: d1 = 3 m direction : 60 degrees EN   d2 = 4m direction : 45 degrees SW   d3 = 6m direction :…

Q: To find the distance across a river, a surveyor chooses points A and B, which are 197 ft apart on…

A: Solution: GIVEN: Angle A=47° and angle B=70°. Step1: Draw the sketch of the given situation as shown…

Q: Vector A has magnitude 11 m and points 30° north of east. Vector B has magnitude 6 m and points 30°…

A:

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: A slelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a…

A:

Q: A U.S. gallon is a volume of 3.78 liters, where 1000 liters = 1000 L = 1 m3 .How many gallons would…

A: Given data:  Height of the cylinder (H) = 2.00 m Radius (R) = 0.500 m 1 gallon = 3.78 L 1 m3 = 1000…

Q: Vector 1 is 7 units long and is at 70°. Vector 2 is 5 units long and is at 155°. Vector 3 is 3 units…

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:

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A:

Q: A particle undergoes the following displacements: 3.50 m south, 8.25 m 45 degrees NE, 5.75m 34…

A: first leg of displacement (d1) = 3.50 m due south second leg of displacement (d2) = 8.25 m @45o…

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

A:

Q: While exploring a cave, a spelunker starts at the entrance and moves the following distances: 71.5 m…

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

A:

Q: Use the polygon method to get the resultant of the following displacement: (a) 5.0 km to the east,…

A: Polygon law of vector addition states that if a number of vectors can be represented in magnitude…

Q: A surveyor measures the distance across a straight river by the following method. Starting directly…

A: Given information:The distance she walked across the bank of river (d) = 138 mThe angle she sights,…

Q: The vector A has a components +5 and +7 along x and y axes respectively. If the vector is now…

A: SOlution: given that  vector A has a components +5 and +7 along x and y axes If the vector is now…

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

A:

Q: . The displacement vector A has a length of 50 m and a direc- tion of 30° east of north; the…

A:

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A:

Q: A surveyor measures the distance across a river that flows straight north by the following method.…

A: Consider the figure below.

Q: A boy walk 140 m due north, 85 m due east, 35 m due southeast, 38 m due west and then  19 m due…

A:

Q: A figure skater glides along a circular path of radius 2.90 m. If she coasts around one half of the…

A: Given,

Q: A geologist is surveying a cave. She follows a path 170m straight west, then 250 m in the direction…

A: The path followed by the geologist is as follows : R1=170 m due west (-x direction), R2=250 m 45o…

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

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: Draw exactly vectors A and B and find the components of the vector sum of the two vectors C=A+B and…

A: Here, We are given, two vectors, A = (2ex+3ey) and B=(5ex+1ey) . We have to draw these two vectors…

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A: Given that                  x = 110 m           and θ = 31.2°

Q: An object undergoes the following displacements: 3.2 m, south; 5.0 m, 30° north of east; 4.5 m,…

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: A spelunker is surveying a cave. She follows a passage 180 m straight west, and then 210 m in a…

A:

Q: While exploring a cave, a spelunker starts at the entrance and moves the following distances. She…

A: Given, While exploring a cave, She goes  75 m North, 250 m east, 125 m at an angle 30° north of…

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 certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is…

A:

Q: A surveyor measures the distance across a straight river by the following method. Starting directly…

A: Consider a right angled triangle. Here, tangent theta is the ratio of opposite side to the adjacent…

Q: the professor asks to find the vector D=A+B-C, where vector A has a magnitude of 8.29 units and…

A:

Q: Solve 1-2 using the given following vectors. + = (5i – 4j + 8k )m A (30i + 12j + 10k )N (8i + 4j +…

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: Using the polygon method; determine the resultant vector. Considering these following vectors: A =…

A:

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A: We need to calculate the width of the river given the information collected by the surveyor.

Q: A hiker walks 35 km east and then 20km south in a day. Find the hikers resultant displacement

A:

Q: A surveyor measures the distance across a straight river by the following method: Starting directly…

A:

Scalars and Vectors

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