9. Consider the vectors a = ê + 3 ŷ and b = - ŷ. Please calculate and plot accurately the following vectors (a) ā+b, (b) b+ã, (c) ā–b, (d) b–ā, (e) ā+3b, and (f) ā+2b.

Q: 3 In the vector diagram, figure 1.24, find the resultant vector along the positive X-axis, for…

A: we calculate the angle made by vector A with x axis =90-37=53 degree

Q: 9. Answer the following question. Assume East and North are positive. * Vector =4.00 m points…

A: Consider East and West be the positive and negative x-axis, respectively. Also, consider North and…

Q: Two vectors with lengths 1.00 m and 2.00 m have an angle, q = 30.0°, between them. What is the…

A:

Q: 7) What are (a) the x component and (b) the y component of a vector ā in the xy plane if its…

A: Given  Magnitude of vector a=7.30m Direction θ=250

Q: A displacement vector r→ in the xy plane is 25.0 m long and directed at angle θ = 38.0° in the…

A: Let us consider that the given angle is with the horizontal. Then we are given that,

Q: 4) The components of vectors A and B are given as follows: Ax=7.6 Ay = -9.2 Bx = -5.1 By = -6.8 What…

A: Given Data Components of the vectors are given as, Ax=7.6 Ay=-9.2   Bx=-5.1 By=-6.8   We have to…

Q: 17. Drawing a shows two vectors A and B, and drawing b shows their components. The scalar components…

A:

Q: 6. The magnitude of vector A is 8.6. It lies in the fourth quadrant and forms an angle of 37° with…

A: If a vector A→ makes an angle θ with +X-axis (anti-clockwise) then the X-component of A→ is…

Q: If vector A has components Ax = -3.0 lb and Ay= -4.0 lb, and vector %3D B has components Bx = 3.0 lb…

A:

Q: Consider two vectors are in the x-y plane. Vector a has a magnitude of 5.0 N and is directed along…

A: In general, a vector is defined as follows. A→=Axi^+Ayj^ Let us calculate the x  and ycomponents of…

Q: Two vectors a→ and b→ have the components, in meters, ax = 6.33 , ay = 1.43 , bx = 1.59 , by = 4.56…

A:

Q: 2 • Find the angle between each of the following pairs of vectors: (a) Ả = -2.00î + 6.00ĵ and B =…

A:

Q: **69. What are the x and y components of the vector that must be added lo the following three…

A:

Q: 12. Drawing a shows a displacement vector A (450.0 m along the -y axis). In this x, y coordinate…

A: The rotation from +x’ axis, the angle should be (-125o) where clockwise rotation takes as a negative…

Q: : 3 2.00j, (a) find the magnitude of each vector; (b) use unit vectors to write an expression for…

A: magnitude of a vector is the square root of the some of the squares of components.

Q: Determine the component Rx, Ry, and Rz of the vector with a magnitude of 600 units. Also, draw the…

A:

Q: 1.2 Vector A has magnitude of 11 m/s² and makes an angle of 65 degrees with the positive x-axis, and…

A: (a) The components of the vector A is, Ax=Acos65o=11 m/s2cos65o=4.65 m/s2Ax=Asin65o=11…

Q: The magnitude of vector A is 8.6. Vector lies in the fourth quadrant and forms an angle of 37 with…

A:

Q: 315° 180° В 60° Draw the vector Ř = À – 2Č + B | In what quadrant does this vector point?

A: Given- Suppose the magnitude of all vectors is unit vectorFrom figureA→=i-jB→=-jC→=i+jWe…

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: Vector A has components ??=−7.40 and ??=−15.9 . What is the magnitude of this vector? ∣∣?⃗∣∣=…

A:

Q: The magnitude of vector A" is 8.6. Vector lies in the fourth quadrant and forms an angle of 37°with…

A: Given that,Vector:A=8.6angle θ=37°To be asked in question,vector components=?

Q: Section 1.9 Unit Vectors 1.34 In each case, find the x- and y-components of vector A: (a) A = 5.01…

A:

Q: Vectors and are shown in the figure. Vector A B is given by →=> → The magnitude of CB A vector is…

A:

Q: Draw and label the vector with these components. Then determine the magnitude and angle of the…

A: The vectors are given by; a→=3 i^-2 j^ (This vector will be in the fourth quadrant) b→=-2 i^+2 j^…

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

A:

Q: Vector 2 has components Ax = 12.4 m and Ay = 4.86 m. What are the magnitude and the direction of…

A:

Q: 1- Given two vectors A is 6 units long and makes an angle of 36 with the positive x-axis, B is 7…

A: Here given two vectors A and B. A is 6 units and B is 7 units. A makes angle 36° with +ve x-axis and…

Q: 1. Using the following vectors, find the magnitude and direction of the resultant vector. A =…

A: Given value--- three vector. We have to find--- magnitude and direction of the resultant vector?

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: 7. Consider this time three vectors pointing at different directions. The first vector has a length…

A:

Q: 70.0° You are given two Á = -3.00î + 6.00ĵ 2 vec- and 30.0° tors = 7.00î + 2.00ĵ. terclockwise…

A:

Q: 2. Consider the three displacement vectors shown in the figure: Vector A has a magnitude of 7.80 km…

A:

Q: 21. Consider two displacements, one of magnitude 3m and the other of magnitude 4m. Which of the…

A: Magnitudes are 3m and 4m  and we have to find what can be the magnitude of the resultant…

Q: 1. Drag 5 arrows, with random (desired) magnitude and direction, to the plane and find its resultant…

A: Let us consider 5 random vectors.1 r→1= 5i^ + 5j^m      direction→  θ= tan-155…

Q: QUESTION Three vectors and their sum are shown in the figure. Here, 3= (4.2 m)7-(1.5 m)7 6=(-1.6…

A: Given  Three vector and their sum are shown in the figure here.tha magnitude and direction of the…

Q: 37. Go The components of vector A are A, and A, (both positive), and the angle that it makes with…

A:

Q: 9- (a) Write each vector in the following figure in terms of the unit vectors î and ĵ. (b) Use unit…

A:

Q: 37. Go The components of vector A are A, and A, (both positive), and the angle that it makes with…

A:

Q: If we have two vector A=6 B=10 And the angle between them 30 What is the magnitude of the two…

A: Given values:- A=6 ----(1) B=10 ----(2) θ=30 0 ------(3) Let us consider the magnitude of the two…

Q: The X component of a displacement vector or is -153 m, well it why component is -180 m find the…

A: Solution :X - component of a displacement vector          = -153 m          = -153 x^ . Where x^ is…

Q: 2. Vector V; is 6.6 cm long and points along the negative x axis. Vector is 8.5 cm long and points…

A: Part (2): Given: The first vector is 6.6 cm along the x-axis. The second vector is 8.5 cm along the…

Q: 46. The three displacement vectors in the drawing have magnitudes of A = 5.00 m, B = 5.00 m, and C =…

A: Given data: The magnitude of vector A is: 5 m The magnitude of vector B is: 5 m The magnitude of…

Q: B = 4.0 units A=5.0 units 40° 70° 50° C =3.0 units Let resultant vector be R = À - B %3D The…

A: A→ = 5 × ( -cos(40o)i^ + sin(40o)j^)A→ = - 3.83i^ + 3.21j^ unitsB→ = 4 × (cos(70o)i^ + sin(70o)j^)B→…

Q: Two vectors a→ and b→ have the components, in meters, ax = 5.04 , ay = 2.15 , bx = 1.40 , by = 5.72…

A:

Q: 10. Find the x- and y-components to a vector that is 89.5 mm at 305° in standard position. a. -73.3…

A:

Q: -15N What is the rectangular component of vector F2 ? The magnitude of the vector is F2 = 1.5N. What…

A: Option (C) is correct.

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: 4. The three displacement vectors in the drawing have magnitudes of A = 5.00 m, B = 5.00 m, and C =…

A:

Q: The magnitude of vector A is 8.6. Vector lies in the fourth quadrant and forms an angle of 37 ̊ with…

A: Given data:  Magnitude of vector A = 8.6 Lies in the forth quadrant Angle (θ) = 37° with the x-axis

Scalars and Vectors

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