Given vectors:A = ( cos p + 3z) ap - (2r + 4 sin p) ap + (r - 2z) azB = -sin p a, + cos (p azFind a unit vector perpendicular to both A and B at P (2, T/2, 1)a.0.487 a, + 0.228 a, + 0.843 a,O b. -0.843 a, + 0.228 ag - 0.487 azOc.0.843 a, + 0.228 ap + 0.487 azd.-0.487 ap - 0.228 ap + 0.843 az

Answered: Image /qna-images/answer/059fe632-66f7-48bf-b623-6a6f705ddd18.jpg

Answered: A = (cos p + 3z) ap - (2r + 4 sin p) ap…

A = (cos p + 3z) ap - (2r + 4 sin p) ap + (r – 2z) az B = -sin p a, + cos (p az Find a unit vector perpendicular to both A and B at P (2, T/2, 1)

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: A force of F = 270 N is applied to the pipe at point D towards point E, as shown in the diagram. All...

Q: Stall speed of an aircraft depends on:

Q: Five bolts are used in the connection between the axial member and the support. The ultimate shear s...

A: Given data: P=475 kNFOS=4.6σut=260 MPaN=5 Need to determine the minimum allowable bolt diameter requ...

Q: A mass of ice at -7 OC is needed to cool 124 kg of vegetables (Cp = 3.35 KJ /kg.K )in a bunker for 2...

Q: What type of production system is used in footwear/shoe manufacturing company particularly crocs. El...

A: In a production system used in footwear/shoe manufacturing company particularly crocs:- 1.Process fl...

Q: (a) The mean ultimate tensile strength of a steel is 1500 MPa. What value should be used if the desi...

A: Mean ultimate tensile strength=σu = 1500 Mpa, reliability = 99% Theoretical endurance strength=σe =...

Q: A Kaplan turbine works under a head of 10 m. The design speed is 50 rpm and turbine develops 40000 k...

Q: A uniform bar AB weighing 500 kg is supported at both end by a cable as shown in the figure. Determi...

Q: Compute the hydrostatic force in (kN). Oil, SG = 0.83 3 m Im Gate 2 m 50°\ B P.

Q: Explain any one type of ball bearing with a neat diagram and write their applications?

Q: A solid aluminum shaft of 94 mm diameter fits concentrically in a hollow steel tube. Determine the m...

Q: ort your answer by a sketch. B) Compare between the laminar and turbulent boundary layers? Hint: Sho...

A: introduction: define all the statement .

Q: If you have a half circle made of steel and the other half of wood, is the center of the circle equa...

Q: The spring is fixed to block A and block B is pressed against the spring. If the spring is compresse...

Q: 6 Analuminum specimin has dozzpmm and gage length Los250m, If aforceof 165 KN elonyates the gage len...

Q: The steel end-cap is fitted into grooves cut in the timber post. The working stresses for the post a...

Q: 600 Ib 3 ft 400 lb E - 4 ft – 4 ft 4 ft 200 Ib

Q: Two lines in the x-y plane are described by the expressions: Line 1: X + 2y = -6 Line 2: 3x + 4y = 8...

Q: (a) The mean ultimate tensile strength of a steel is 1500 MPa. What value should be used if the desi...

A: The ultimate tensile strength (UTS) of a material is the highest stress it can withstand when stretc...

Q: A reciprocating air compressor serves an air operated sinking pump operating at 760 kPag and 6.20 m3...

A: For solution refer below images.

Q: A cold storage is to be maintained at – 5°C while the surroundings are at 35°C. The heat leakage fro...

Q: Bronze A = 300mm² E = 83 GPa 2.00 m Steel A = GO0mm? E = 200 GPa 1.00 m A B

A: GivenMN=45kN

Q: A rope 3.5 mm² breaks when a load of 50 kN is applied to it. Estimate the diameter of the same rope ...

Q: Box pushing cylinder Carton box Conveyor Material handing Cylinder Figure

Q: Find the resultant and angle of direction based on the horizontal. using tail to tip method A) 25 l...

Q: As shown in the figure, a homogeneous 100-kg rigid block is suspended by the three springs whose low...

Q: Consider the figure on the right. A steel plate is used to connect a member to a steel column. 5 - 3...

A: Since, both are different question. So, as per the guidelines, I can solve only first question at th...

Q: 12) Which one of the following is correct about Exhaust Gas Recirculation? O It increases the NOx co...

Q: Calculate for the self-weight of a floor finish, in Pa, for the second floor of an office building u...

Q: 6. A 6 250 m long, 914 mm (inside diameter) cast iron pipeline connects an upstream reservoir (water...

A: The vehicle of liquid in a shut conductor is critical in our day by day tasks. A concise thought of ...

Q: A gage on the suction side of a pump shows a vacuum of 93 mm of mercury. Compute the absolute pressu...

Q: Are the wedge grips suitable for tests of brittle materials? Explain

Q: How mechanical engineers do the 4D Simulation in construction Industry. What softwares they generall...

Q: s (ft) Given the s-t graph beside, compute for the instantaneous acceleration at t = 1s and t = 2 s....

Q: A helical spring with a mass of 6 kg has a mass of 10 kg attached to its free end. The mass is now p...

A: Since we only answer up to 3 subparts so we will answer the first 3. Please resubmit the question by...

Q: A uniform bar 1 is connected to a tapered rod 2. Both are subjected to axial loads as shown. If P = ...

Q: An acrobatic buccaneer swings from one rope to another in the rigging of a pirate ship. As she grasp...

A: A perfectly elastic collision is one in which no kinetic energy is lost during the contact. In an in...

Q: 1. A hydroelectric power-generating facility is to be built at a location that has a change of eleva...

A: Given Data Q=227 m3/s H=45 m

Q: ssure of 400 psia enters the pine. The condenser pressure is ospheric. Find the ideal Rankine cycle ...

Q: 2. Helium expands polytropically through a turbine according to the process pv1.5 =C. The inlet temp...

Q: Solve for the Vrms (magnitude only) a

A: need to Find value for Vrms

Q: * The governing equations of a mass-spring vibrating system with two masses are: yi' = -2y1 - y2 y" ...

A: Given : To find : Frequencies and relative displacements

Q: Develop a mathenatical nodel bor a Stigved tank heater with jackot with aslumptione

A: The model's parameters are standardised values for a certain chemical process in which the tank's te...

Q: 3. Dry saturated steam at 200 bar expands isothermally and reversibly to a pressure of 10 bar. Calcu...

A: Given Data State 1: 200 bar,dry saturated State 2: 10 bar Isothermal expansion process

Q: Liquid ammonia at a temperature of 26 OC is available at the expansion valve . The temperature of th...

Q: A tie is used to suspend an object, which is later completely immersed in a bowl of water. object ha...

A: My answer does not match with the given options but my solution is correct for sure and this will be...

Q: compute the expected maximum velocity of flow.

Q: An ideal Brayton cycle has a pressure ratio of 8. At the beginning of the compression process, air i...

Q: of the gate, complete with dime required force, F, applied at the ninge reactions, Hy and Hy, in L e...

Q: A mass of ice at -7 OC is needed to cool 114 kg of vegetables (Cp = 3.35 KJ /kg.K )in a bunker for 2...

Question

Given vectors:
A = ( cos p + 3z) ap - (2r + 4 sin p) ap + (r - 2z) az
B = -sin p a, + cos (p az
Find a unit vector perpendicular to both A and B at P (2, T/2, 1)
a.
0.487 a, + 0.228 a, + 0.843 a,
O b. -0.843 a, + 0.228 ag - 0.487 az
Oc.
0.843 a, + 0.228 ap + 0.487 az
d.
-0.487 ap - 0.228 ap + 0.843 az

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

It can be show that a plane area may he represented by a vector A=A, where A is the area and represents a unit vector normal to the piano: of the area. Show that the area vector of the parallelogram formed by the vectors a and b shown in the figure is A=ab.
Find a unit vector that is perpendicular to both A=4i-3j-2km and B=2i4j+3km.
Determine (a) the angle between the position vectors P and Q; and (b) a unit vector perpendicular to P and Q.
use the value w=2, x=0, y=2, z=8
Find the projection of the vector A=-2j+k^ on the vector B= 6i+4 j+8k^
Consider the subspace plane H spanned by two vectors U1=[-2,1,1] u2=[1,1,1] Find the orthogonal of the vector b = [2,2,2] onto the subspace H Find the orthogonal distance between the vector b and subspace H plane
Three forces intersect at point (1, 1, 1). Their magnitude and respective second point of incidence are as follows: 450 lbs (4, -3, 7), 600lbs (-1, 5, -4), 300lbs (-3, 6, -2) 1. Compute the direction cosine on the x-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513 2. Compute the direction cosine on the y-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513 3. Compute the direction cosine on the x-axis. a. 0.394 b. 0.124 c. 0.762 d. 0. 513
1. Vector 1 is 30 m/s at 300° and Vector 2 is 80 m/s at 50°. Direction at CCW due East.a) Calculate the resultant vector using Pythagorean theorem and/or trigonometry.
Example : Find the angle between the vectors A=2u x +3u y -u z and B=-u x +u y +2u z
Which of the following quantities is/are zero? I. Moment of P about the x-axis II. Moment of P about the y-axis III. Moment of P about the z-axis a. I, II, III b. I only c. II, III d. II only
The collar C is fixed to AB and supports a weight W=15 N, acting in the negative z direction. What is the vector component of the weight that is perpendicular to AB?
ᴅᴜʀɪɴɢ ᴀ ᴛʀɪᴘ ᴛᴏ ᴛʜᴇ ʙᴇᴀᴄʜ (ᴘᴀᴛᴍ = 1 ᴀᴛᴍ = 101.3 ᴋᴘᴀ), ᴀ ᴄᴀʀ ʀᴜɴꜱ ᴏᴜᴛ ᴏꜰ ɢᴀꜱᴏʟɪɴᴇ, ᴀɴᴅ ɪᴛ ʙᴇᴄᴏᴍᴇꜱ ɴᴇᴄᴇꜱꜱᴀʀʏ ᴛᴏ ꜱɪᴘʜᴏɴ ɢᴀꜱ ᴏᴜᴛ ᴏꜰ ᴛʜᴇ ᴄᴀʀ ᴏꜰ ᴀ ɢᴏᴏᴅ ꜱᴀᴍᴀʀɪᴛᴀɴ (ꜱᴇᴇ ꜰɪɢᴜʀᴇ). ᴛʜᴇ ꜱɪᴘʜᴏɴ ɪꜱ ᴀ ꜱᴍᴀʟʟ-ᴅɪᴀᴍᴇᴛᴇʀ ʜᴏꜱᴇ, ᴀɴᴅ ᴛᴏ ꜱᴛᴀʀᴛ ᴛʜᴇ ꜱɪᴘʜᴏɴ ɪᴛ ɪꜱ ɴᴇᴄᴇꜱꜱᴀʀʏ ᴛᴏ ɪɴꜱᴇʀᴛ ᴏɴᴇ ꜱɪᴘʜᴏɴ ᴇɴᴅ ɪɴ ᴛʜᴇ ꜰᴜʟʟ ɢᴀꜱ ᴛᴀɴᴋ, ꜰɪʟʟ ᴛʜᴇ ʜᴏꜱᴇ ᴡɪᴛʜ ɢᴀꜱᴏʟɪɴᴇ ᴠɪᴀ ꜱᴜᴄᴛɪᴏɴ, ᴀɴᴅ ᴛʜᴇɴ ᴘʟᴀᴄᴇ ᴛʜᴇ ᴏᴛʜᴇʀ ᴇɴᴅ ɪɴ ᴀ ɢᴀꜱ ᴄᴀɴ ʙᴇʟᴏᴡ ᴛʜᴇ ʟᴇᴠᴇʟ ᴏꜰ ᴛʜᴇ ɢᴀꜱ ᴛᴀɴᴋ. ᴛʜᴇ ᴅɪꜰꜰᴇʀᴇɴᴄᴇ ɪɴ ᴘʀᴇꜱꜱᴜʀᴇ ʙᴇᴛᴡᴇᴇɴ ᴘᴏɪɴᴛ 1 (ᴀᴛ ᴛʜᴇ ꜰʀᴇᴇ ꜱᴜʀꜰᴀᴄᴇ ᴏꜰ ᴛʜᴇ ɢᴀꜱᴏʟɪɴᴇ ɪɴ ᴛʜᴇ ᴛᴀɴᴋ) ᴀɴᴅ ᴘᴏɪɴᴛ 2 (ᴀᴛ ᴛʜᴇ ᴏᴜᴛʟᴇᴛ ᴏꜰ ᴛʜᴇ ᴛᴜʙᴇ) ᴄᴀᴜꜱᴇꜱ ᴛʜᴇ ʟɪQᴜɪᴅ ᴛᴏ ꜰʟᴏᴡ ꜰʀᴏᴍ ᴛʜᴇ ʜɪɢʜᴇʀ ᴛᴏ ᴛʜᴇ ʟᴏᴡᴇʀ ᴇʟᴇᴠᴀᴛɪᴏɴ. ᴘᴏɪɴᴛ 2 ɪꜱ ʟᴏᴄᴀᴛᴇᴅ 0.75 ᴍ ʙᴇʟᴏᴡ ᴘᴏɪɴᴛ 1 ɪɴ ᴛʜɪꜱ ᴄᴀꜱᴇ, ᴀɴᴅ ᴘᴏɪɴᴛ 3 ɪꜱ ʟᴏᴄᴀᴛᴇᴅ 2 ᴍ ᴀʙᴏᴠᴇ ᴘᴏɪɴᴛ 1. ᴛʜᴇ ꜱɪᴘʜᴏɴ ᴅɪᴀᴍᴇᴛᴇʀ ɪꜱ 5 ᴍᴍ, ᴀɴᴅ ꜰʀɪᴄᴛɪᴏɴᴀʟ ʟᴏꜱꜱᴇꜱ ɪɴ ᴛʜᴇ ꜱɪᴘʜᴏɴ ᴀʀᴇ ᴛᴏ ʙᴇ ᴅɪꜱʀᴇɢᴀʀᴅᴇᴅ. ᴅᴇᴛᴇʀᴍɪɴᴇ ᴛʜᴇ ᴍɪɴɪᴍᴜᴍ ᴛɪᴍᴇ (ɪɴ ꜱᴇᴄᴏɴᴅꜱ) ᴛᴏ ᴡɪᴛʜᴅʀᴀᴡ 4 ʟ ᴏꜰ ɢᴀꜱᴏʟɪɴᴇ ꜰʀᴏᴍ ᴛʜᴇ ᴛᴀɴᴋ ᴛᴏ ᴛʜᴇ ᴄᴀɴ. (ʜɪɴᴛ: ꜰʀᴇᴇ ꜱᴜʀꜰᴀᴄᴇꜱ ᴏꜰ ᴛʜᴇ ɢᴀꜱᴏʟɪɴᴇ ᴀʀᴇ ᴇxᴘᴏꜱᴇᴅ ᴛᴏ ᴀᴍʙɪᴇɴᴛ ᴀɪʀ)