Answered: Determine the angle between the two…

Determine the angle between the two position vectors of QAB and QAB, When point A is (1 m, -2 m, 3 m), Point B is equal to (-4 m, 5 m, -2 m) while point C is equal to (2 m, 3 m, 2 m)

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.64P: Determine (a) the angle between the position vectors P and Q; and (b) a unit vector perpendicular to...

See similar textbooks

Related questions

Q: The moment of the force F-960-lb about the point O in Cartesian vector form is. F 1 ft 4 ft 2 ft 4…

A: Given: The force is F=960 lb.

Q: Find the resultant of the force vectors in the following images. In each case, finding the Force…

Q: Show that the points A, B and C, with position vectors p+q, p-q and p respectively, lie on the same…

A: Position vectors of A= p+q Position vectors of B= p-q Position vectors of C= p

Q: The moment F= T20-lb about of the force the point O in Cartesian vector form is. F= 120 lb 1 ft 4 ft…

Q: Given the Position vector R = 4i + 3j + Ok (m) and the Force vector F = -3i + 4j + 0k (kN)

Q: Use the dot product to find the angle between the position vectors A and B

A: From the given figure, calculate OC using the Pythagoras theorem. OA=180 mm2+200 mm2cos40°…

Q: The moment of the force F=720-lb about the point O in Cartesian vector form is. F 1 ft 4 ft 2ft 4…

A: Solution: Moment of Force F about O and its cartesian form is obtained below.

Q: F1=4i+3j+6 k [kN] and F2 = 5 i-6j-5k [kN]. The coordinate direction angle of %3D %3D the resultant…

Q: The force of magnitude F acts along the edge of the triangular plate. Determine the moment of F…

Q: The moment of the force F-960-lb about the point O in Cartesian vector form is.

Q: The moment of the force F=960-lb about .the point O in Cartesian vector form is F 1 ft 4 ft 2 ft 4…

A: Force , F=960 lb

Q: The moment of the force E-960-lb about the point O in Cartesian vector form is

Q: The magnitude of the vertical force W is 160 N. The direction cosines of the position vector from A…

Q: 1. Find the value of F and a if T = 450 N, P = 250 N, B = 30°, and the resultant is 300 N acting up…

Q: The moment of the force F=120 lb about the point O in Cartesian vector form is.

Q: The moment of the force F480-lb about the point O in Cartesian vector form is. 1 ft 4 ft 2ft 4 ft

Q: P2-6. establish a position vector from point A to point B. 3 m. 2 m

A: Given Data: The coordinate of point A is (5,0,0). The coordinate of point B is (0,3,-2). The…

Q: Find the resultant force of the following? B, F-600 N 3.5 m 0.5 m F- 450 N 1.5 m 1m 1.5 m 0.5 m y X…

Q: The moment of the force F=960-lb about the point O in Cartesian vector formn is. 1 ft> 4 ft 2 ft 4…

A: The position vector for B is B→=i+4j+2k The position vector for C is C→=5i+0j+0k The vector along BC…

Q: Resolve for the x and y component of F3. F3 = 650 N %3D F2= 750 N %3D 45° F, = = 900 N x component…

Q: Situation 2: Determine the x and y coordinates and the resultant of the block with the forces acting…

Q: 3- Concurrent forces are those forces whose lines of action A. lie on the same line B. meet at one…

A: Given: Concurrent forces are those forces whose lines of action A. Lie on the same line B. Meet at…

Q: For the given vectors V₁ and V₂, determine V₁ + V₂, V₁ + V2, V₁ - V2, V₁ X V2, V₁ V₂. Consider the…

Q: The moment of the force F=360-lb about the point O in Cartesian vector form is.

A: Solution:

Q: what are the coordinates (-x,y and z) of point A?

Q: The moment of the force F=120-lb about the point O in Cartesian vector form is. F-120 lb 1ft 4 ft 2…

A: The position vectors is calculated as, O→=0i^+0j^+0k^B→=1i^+4j^+2k^C→=5i^+0j^+0k^ The vector OB is…

Q: The moment of the force F=120-lb about the point O in Cartesian vector form is. F= 120 lb 1 ft 4 ft…

Q: B 1.5 m/C 1.5 m P= 0.8 kN T-1.2 kN 3 m 2 m 75 m - Determine the x-, y-, and z- components of T. -…

A: Given data: - The magnitude of T is T = 1.2 kN. The magnitude of P is P = 0.8 kN.

Q: The dot product of the two vectors a and b is equal to: a.b.cose

Q: 1. In each case, establish a position vector from point A to point B. а. 3 m 1 m -4 m 3 m 4 m B b. 4…

Q: The moment of the force F=180-lb about the point O in Cartesian vector form is.

Q: Situation 2: Determine the x and y coordinates and the resultant of the block with the forces acting…

A: Calculate the x-component of resultant force.

Q: The moment of the force F=480-lb about the point O in Cartesian vector form is. 1 ft 2 ft

Q: B 1.5 m 1.5 m P= 0.8 kN T-1.2 kN 3m 2 m 1.5 m 3 m Determine the x-, y-, and z- components of T.…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: The moment of the force F=120-lb about the point O in Cartesian vector form is. F = 120 lb 1 ft 4 ft…

Q: The moment of the force F=120-lb about the point O in Cartesian vector form is.

Q: Determine the magnitude of the vector sum V = V1 + V2 and the angle which it makes with the x-axis

Q: The moment of the force F=960-lb about .the point O in Cartesian vector form is 1 ft 4 ft' 2 ft 4…

A: From the figure, Coordinates of the origin O (x,y,z)= 0,0,0 Coordinates of the point C (x,y,z)=…

Q: Four forces 18 N, 36 N, 54 N and 72 N are acting along sides AB, BC, CD and DA of a rectangle ABCD…

A: Given Data The force force acting on the side AB is: 18 N The force acting on the side BC is: 36 N…

Q: The moment of the force F=120 lb about the point O in Cartesian vector form is. F= 120 lb 1 ft 4 ft…

Q: Determine the pointing of the resultant for the following system of non-coplanar, concurrent forces.…

Q: Find the resultant of the force vectors in the following images. In each case, finding the Force…

A: Find the position vector along AC. rAC→=-6 i^+3 j^-2 k^ Find the unit vector along AC.…

Q: If the component of vector A along the direction of vector B is zero, what can you conclude about…

Q: The two forces are equivalent to a force R that has a line of action passing through * .point A

Q: The moment of the force F=1440-lb about the point O in Cartesian vector form is. 1 ft 4 ft' 2 ft 4…

Q: Q5:- The vector i +bj-k is perpendicular to the vector I +2j-3k. what is the .?value of b Q6:- Prove…

Q: Q2- find the relation between Y(S) & X(S) for the system below. k

A: F=kx-y+b1x˙-y˙

Q: Q2: Find the sum of the vectors A and B which at the plane XY and are given coordinates: A= (2i +…

A: Given: A→=2i^+2j^ mB→=2i^+4j^ m

Q: Determine the vector representation of the couple shown 45 lb 60° 3 ft A 1.8 ft B 60° 45 lb Moment:…

A: As per given question We have to determine vectors represented of couple

Question

Determine the angle between the two position vectors of QAB and QAB, When point A is (1 m, -2 m, 3 m), Point B is equal to (-4 m, 5 m, -2 m) while point C is equal to (2 m, 3 m, 2 m).

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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 by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

For the position vectors P and Q shown, determine the orthogonal component of P Ă— Q in the direction of OA.
Determine (a) the angle between the position vectors P and Q; and (b) a unit vector perpendicular to P and Q.
The force-couple system acting at O is equivalent to the wrench acting at A. If R=600i+1400j+700klb and |C|=1200lbft, determine CR.
Determine the moment of the force F about point A in terms of F and d. Use (a) the scalar method; and (b) the vector method.
The three forces of magnitude P can be replaced by a single, equivalent force R acting at point A. Determine the distance x and the magnitude and direction of R.
The force-couple system consists of the force R=250i+360j400kN and the couple-vector CR=1200i+750j+560kNm. Determine the equivalent wrench and find the coordinates of the point where the axis of the wrench crosses the xy-plane.
Determine the moment of the force F=9i+18jlb about point O by the following methods: (a) vector method using rF; (b) scalar method using rectangular components of F; and (c) scalar method using components of F that are parallel and perpendicular to the line OA.
The two forces are applied to the end of the boom OA. Determine the force F so that the resultant of the two forces lies in the yz-plane.
The two forces of magnitude F=30kN form a couple. Determine the corresponding couple-vector.
The force F=5i+12j+4k lb is applied to the handle of the door. Determine the orthogonal component of F that is perpendicular to the plane of the door.
The force F=2i12j+5klb acts along the line AB. Recognizing that the moment of F about point B is zero, determine the x- and z-coordinates of point B.
The intensity of the line loading acting on a quarter circle is w=w0(2/). Use intergration to determine the resultant of the loading and its line of action.