Answered: 3. Select the expression that denotes a…

3. Select the expression that denotes a unit vector in the direction of F1 . a. 0.643i - 0.766 j b. 0.766i - 0.643 j c. -0.766i - 0.643 j d. 0.766i + 0.643 j

Related questions

Q: For A= 1 + 2ĵ-K, B = -21 + 2ĵ+ 4k, and C = 23 - 2k, find C. (A - B). Be careful when subtracting…

A: Given data: Three vectors A = i + 2j - k B = -2i + 2j + 4k C = 2j - 2k

Q: Consider the vectors below. Find the value of I. Round-off your answer to two decimal places. Vector…

A: Given that, the vectors are A=27N and α=135o B=45N and β=74o C=15N and γ=265o We have to find the…

Q: a.) What are the x and y components for the vectors shown? b.) Determine the magnitude of the sum…

Q: For vectors B = -i – 4j and A = -3i – 2j, calculate the following. Give your answers to three…

Q: 1. For the vectors shown in the figure, find a) A. B b) B.C c) A. C Use either method. Be careful…

Q: The vector product of vectors A and B has magnitude 20.0 m² and is in the +z-direction. Vector A has…

A: According to the given data provided in the question A=8m and it is in -x direction R→=A→xB→=20m2…

Q: Vector A has a magnitude of 3.0 units and points in the negative a direction. Vector B has a…

Q: Part A Determine the magnitude of the sum of the three vectors V₁ = 8.0 18.0 1, V₂ = 1 + 1, and V3 =…

Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

Q: If Vx = 14 m and Vy = 27 m then determine the following: a. What is the magnitude, V, of this…

Q: ce The figure shows two vectors, A and B, with A = 14.6 m, B = 4.58 m, 0 = 33°, and = 38°. Let C =…

A: Given, A= 14.6m B= 4.58m θ=33° ϕ=38°

Q: Consider the two vectors, A = -4.42 i +-2.02 j and B = -1.95 i +-5.54 j. Part (a) What is the…

Q: Vector x-component |27N, 135° A. 45N, 740 Β. |15N, 265° C. y-component E. F. |G. Δ.Σχε Η.Σ.γε |I.…

A: The method is to draw the vectors first and notice in which quadrants they belong. Then identify the…

Q: Part A In what direction should the crew fly to go directly to the field? Use components to solve…

A: Solution: The direction and the displacement of the plane are shown by the vector representation on…

Q: A vector has a magnitude 10 and makes an angle of 120° to the +x axis, what's its x component? OA. 5…

Q: Six vectors are shown below. ン Select all vectors which have the same magnitude.

A: The quantities which has both magnitude and direction are called vectors. A vector has a head and a…

Q: Propagate to find the percent error in a + b. a = 8.3 ± 1.2 b = 11.7 t 1.6 %3D Enter a number such…

A: Solution: Here we are given that a = 8.3±1.2 andb = 11.7 ± 1.6 now here let the relation be : x +…

Q: Review | Constants Part A Given two vectors A = 4.00 i 3.20 j and B = 5.00 i - 2.40 j , find the…

A: Given:Vector A = 4 i + 3.2 jVector B = 5 i – 2.4 j

Q: The vectors shown in the accompanying form an equilateral triangle vith figure sides 2.0 m long.…

Q: Find the angle of the sum of the three vectors shown in the figure, measured counterclockwise from…

Q: 4. When two vectors, A and B, are equal, they must have equal magnitudes, |A| = |B|, or A = B.…

Question

Cartesian Vectors in Two dimensions
3. Select the expression that denotes a unit vector in the direction of F1 .

a. 0.643i - 0.766 j

b. 0.766i - 0.643 j

c. -0.766i - 0.643 j

d. 0.766i + 0.643 j

4. If α = 45ᵒ , determine the magnitude of P that makes the resultant of the three vectors
(R = F1 + F2 + P ) horizontal.
a. 93.9lb

b. 51.5lb
c. 72.7lb

d. 25.8lb

5. Ifα = 45ᵒ , and the resultant (R = F + F + P ) is horizontal,

determine its magnitude, R .

a. 132lb

b. 86.6lb
c. 97.7lb

d. 24.9lb

6. Ifα = 45ᵒ , find the magnitude of the projection of F1 in the
direction of P .
a. 3.24lb

b. 4.49lb
c. 6.97lb

d. 11.2lb

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

The vector in the figure has a length of 4.0 units and makes a 30° angle with respect to the y-axis. What are the x-component and y-component of the vector? O2.0,-3.5 3.5, 2.0 -2.0, 3.5 -3.5, 2.0 O-3.5, -2.0 30° X
18. True or False: a. A unit vector always has a magnitude of 1. b. A unit vector is unitless. 19. Given the vector P = 3î - 4ĵ+ 12k determine: = Unit vector along line of action of vector P, ûp= b. Direction cosine angles (degrees) for vector P, B = a. α = Y =
You are given a vector A = 190i and an unknown vector B that is perpendicular to A. The cross-product of these two vectors is A × B = 81k. a. What is the x-component of the vector B? b. What is the y-component of the vector B? c. What can you say about the z-component of vector B?
A vector force F1 of 3 N is direcected in 20 degrees North of West, and a vector force F2 of 4 N is directed in 60 degrees East of North. 1. Draw each vector F1 and F2 in the xy-plane. 2. Write the magnitude and the direction of each vector. B. Component Method of Adding Vectors 1. Calculate the x and y components of each vector. 2. Calculate the x and y components of the resultant vector F3 = F1 + F2 . 3. Determine the magnitude of the resultant vector F3 ( Compare this result with #2 (triangle method)).
Please explain..cos I have zero clue
If A · B = 0 and A x B = 0 what can we say about Aand B? Select one: а. None of the other options b. A is perpendicular to B c. A is proportional to B d. A is opposite to B e. A is parallel to B
Three vectors A, B and C add together to yield zero, i.e. A + B + C = 0. The vectors A and C point in opposite directions and their magnitudes are related by the expression: A = 2C. Which one of the following conclusions is correct? A. A and B have equal magnitudes and point in opposite directions. B. B and C have equal magnitudes and point in the same direction. C. A and B point in the same direction, but A has twice the magnitude of B. OD. B and C point in the same direction, but C has twice the magnitude of B. E. A and B
2. Express the force as a Cartesian vector in terms of unit vectors ‘i’ ‘j’ and ‘k’. Round to three significant figures.
1. A vector, V, has a magnitude of 250 N and a direction of 65°. Determine the following: a. Vx = b. Vy=
The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A⃗ A→ through D⃗ D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified. A. What is the xcomponent of A→? B.What is the y component of A⃗ ? C.What is the y component of B⃗ ? D.What is the x component of C⃗ ? E. In ordered pair notation, write down the components of vector B⃗ F. In ordered pair notation, write down the components of vector D G.What is true about B⃗ and D⃗ ? They have different components and are not the same vectors. They have the same components but are not the same vectors. They are the same vectors.
Find the magnitude and direction of each vector. (See photos for vectors A and B). Find the magnitude and direction for vector A + B.
9. A = 11. A + D= - A E 10. В + = 0 12. D- = 2D 13. Which vector/s have +X and -Y components? F H B 14. Which vectors have no x components? 15. Which vectors have equal x and y components? 16. Mathematically, what is A + H-D + 2E? 18. On the diagram below give two ways to make R. 17. Draw 2E -G +F-C. A В